Relevant bibliographies by topics / Nonconforming FEM

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Nonconforming FEM'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Nonconforming FEM"

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Carstensen, C., and K. Köhler. "Nonconforming FEM for the obstacle problem." IMA Journal of Numerical Analysis 37, no. 1 (May 10, 2016): 64–93. http://dx.doi.org/10.1093/imanum/drw005.

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Hu, Jun, and Mira Schedensack. "Two low-order nonconforming finite element methods for the Stokes flow in three dimensions." IMA Journal of Numerical Analysis 39, no. 3 (April 19, 2018): 1447–70. http://dx.doi.org/10.1093/imanum/dry021.

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Abstract In this paper, we propose two low-order nonconforming finite element methods (FEMs) for the three-dimensional Stokes flow that generalize the nonconforming FEM of Kouhia & Stenberg (1995, A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow. Comput. Methods Appl. Mech. Eng, 124, 195–212). The finite element spaces proposed in this paper consist of two globally continuous components (one piecewise affine and one enriched component) and one component that is continuous at the midpoints of interior faces. We prove that the discrete Korn inequality and a discrete inf–sup condition hold uniformly in the mesh size and also for a nonempty Neumann boundary. Based on these two results, we show the well-posedness of the discrete problem. Two counterexamples prove that there is no direct generalization of the Kouhia–Stenberg FEM to three space dimensions: the finite element space with one nonconforming and two conforming piecewise affine components does not satisfy a discrete inf–sup condition with piecewise constant pressure approximations, while finite element functions with two nonconforming and one conforming component do not satisfy a discrete Korn inequality.
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Carstensen, Carsten, Dietmar Gallistl, and Mira Schedensack. "Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems." Mathematics of Computation 84, no. 293 (October 20, 2014): 1061–87. http://dx.doi.org/10.1090/s0025-5718-2014-02894-9.

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Carstensen, Carsten, Daniel Peterseim, and Hella Rabus. "Optimal adaptive nonconforming FEM for the Stokes problem." Numerische Mathematik 123, no. 2 (September 6, 2012): 291–308. http://dx.doi.org/10.1007/s00211-012-0490-8.

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Rabus, H. "A Natural Adaptive Nonconforming FEM Of Quasi-Optimal Complexity." Computational Methods in Applied Mathematics 10, no. 3 (2010): 315–25. http://dx.doi.org/10.2478/cmam-2010-0018.

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AbstractIn recent years, the question on the convergence and optimality in the context of adaptive finite element methods has been the subject of intensive studies. However, for nonstandard FEMs such as mixed or nonconforming ones, the lack of Galerkin's orthogonality requires new mathematical arguments. The presented adap- tive algorithm for the Crouzeix-Raviart finite element method and the Poisson model problem is of quasi-optimal complexity. Furthermore it is natural in the sense that collective marking rather than a separate marking is applied or the estimated error and the volume term.
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Qu, Xin, Lijun Su, Zhijun Liu, Xingqian Xu, Fangfang Diao, and Wei Li. "Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration." Advances in Materials Science and Engineering 2020 (December 12, 2020): 1–14. http://dx.doi.org/10.1155/2020/6681214.

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As it is very difficult to construct conforming plate elements and the solutions achieved with conforming elements yield inferior accuracy to those achieved with nonconforming elements on many occasions, nonconforming elements, especially Adini’s element (ACM element), are often recommended for practical usage. However, the convergence, good numerical accuracy, and high computing efficiency of ACM element with irregular physical boundaries cannot be achieved using either the finite element method (FEM) or the numerical manifold method (NMM). The mixed-order NMM with background cells for integration was developed to analyze the bending of nonconforming thin plates with irregular physical boundaries. Regular meshes were selected to improve the convergence performance; background cells were used to improve the integration accuracy without increasing the degrees of freedom, retaining the efficiency as well; the mixed-order local displacement function was taken to improve the interpolation accuracy. With the penalized formulation fitted to the NMM for Kirchhoff’s thin plate bending, a new scheme was proposed to deal with irregular domain boundaries. Based on the present computational framework, comparisons with other studies were performed by taking several typical examples. The results indicated that the solutions achieved with the proposed NMM rapidly converged to the analytical solutions and their accuracy was vastly superior to that achieved with the FEM and the traditional NMM.
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Carstensen, Carsten, and Christian Merdon. "Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem." Computational Methods in Applied Mathematics 14, no. 1 (January 1, 2014): 35–54. http://dx.doi.org/10.1515/cmam-2013-0021.

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Abstract. This survey compares different strategies for guaranteed error control for the lowest-order nonconforming Crouzeix–Raviart finite element method for the Stokes equations. The upper error bound involves the minimal distance of the computed piecewise gradient $\operatorname{D}_{\textup {NC}}u_{\textup {CR}}$ to the gradients of Sobolev functions with exact boundary conditions. Several improved suggestions for the cheap computation of such test functions compete in five benchmark examples. This paper provides numerical evidence that guaranteed error control of the nonconforming FEM is indeed possible for the Stokes equations with overall efficiency indices between 1 to 4 in the asymptotic range.
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Vanselow, Reiner. "New results concerning the DWR method for some nonconforming FEM." Applications of Mathematics 57, no. 6 (December 2012): 551–68. http://dx.doi.org/10.1007/s10492-012-0033-8.

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Biswas, Rahul, Asha K. Dond, and Thirupathi Gudi. "Edge Patch-Wise Local Projection Stabilized Nonconforming FEM for the Oseen Problem." Computational Methods in Applied Mathematics 19, no. 2 (April 1, 2019): 189–214. http://dx.doi.org/10.1515/cmam-2018-0020.

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AbstractIn finite element approximation of the Oseen problem, one needs to handle two major difficulties, namely, the lack of stability due to convection dominance and the incompatibility between the approximating finite element spaces for the velocity and the pressure. These difficulties are addressed in this article by using an edge patch-wise local projection (EPLP) stabilization technique. The article analyses the EPLP stabilized nonconforming finite element methods for the Oseen problem. For approximating the velocity, the lowest-order Crouzeix–Raviart (CR) nonconforming finite element space is considered; whereas for approximating the pressure, two discrete spaces are considered, namely, the piecewise constant polynomial space and the lowest-order CR finite element space. The proposed discrete weak formulation is a combination of the standard Galerkin method, EPLP stabilization and weakly imposed boundary condition by using Nitsche’s technique. The resulting bilinear form satisfies an inf-sup condition with respect to EPLP norm, which leads to the well-posedness of the discrete problem. A priori error analysis assures the optimal order of convergence in both the cases, that is, order one in the case of piecewise constant approximation and \frac{3}{2} in the case of CR-finite element approximation for pressure. The numerical experiments illustrate the theoretical findings.
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Yang, Yidu. "Two-grid Discretization Schemes of the Nonconforming FEM for Eigenvalue Problems." Journal of Computational Mathematics 27, no. 6 (June 2009): 748–63. http://dx.doi.org/10.4208//jcm.2009.09-m2876.

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Dissertations / Theses on the topic "Nonconforming FEM"

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Cenanovic, Mirza, and Mahdieh Khanmohammadi. "Implementation of a non-conforming rotated Q1 approximation on tetrahedron." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-15518.

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Our project consists of two parts (A and B). In part A we solve a linear elasticity problem with implementing a rotated  approximation method and simulating the problem in commercial softwares (COMSOL and SolidWorks). To evaluate the results we implement an analytical eigenvalue solver. As a simple case, we use a cube with side length of L = 1m made of Alloy steel with density of 7850 Kg/m^3.  In part B we implement a time dependent linear elasticity problem on a beam made of Alloy steel with density of 7850 Kg/m^3 with size of 1x0.1x0.01m. We use the implicit method to solve our problem. The frequency results in part A show that the rotated Q1 approximation method works more accurate than the commercial software.
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Suntay, Kemal [Verfasser], and Gerhard [Akademischer Betreuer] Starke. "Nonconforming P2-FEM for the obstacle problem and flux-reconstruction-based a-posteriori error estimator / Kemal Suntay ; Betreuer: Gerhard Starke." Duisburg, 2020. http://d-nb.info/1221960180/34.

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Garg, Deepika. "Generalized local projection stabilized finite element methods for boundary value problems." Thesis, 2020. https://etd.iisc.ac.in/handle/2005/4982.

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The primary goal of this thesis work is to study a priori analysis based on the generalized local projection stabilized (GLPS) finite element methods for the system of linear partial differential equations of first and second-order, such as the advection-reaction equation, the Darcy equations, and the Stokes problems. It is well-known that applying the standard Galerkin finite element method (FEM) to these types of problems induces spurious oscillations in the numerical solution. Nevertheless, the stability and accuracy of the standard Galerkin solution can be enhanced by applying stabilization techniques. Some of the well-known stabilization techniques are the streamline upwind Petrov-Galerkin methods (SUPG), least-squares methods, residual-free bubbles, continuous interior penalty, subgrid viscosity, and local projection stabilization. The main contribution is to introduce and develop a generalized local projection stabilization for the advection-reaction equation and Darcy equations. Initially, we study the generalized local projection stabilization scheme with conforming and nonconforming finite element spaces for an advection-reaction equation. GLPS technique allows the use of projection spaces on overlapping sets and avoids using a two-level mesh or enrichment of finite element space. Since the Laplacian term is missing in the advection-reaction equation, a different approach is used to derive the coercivity with a stronger local projection streamline derivative (LPSD) norm. An important feature of this LPSD norm is that it provides control with respect to streamline derivatives. Note that the LPSD norm is equivalent to the SUPG norm for an appropriate choice of mesh-dependent parameter. Furthermore, weighted edge integrals of the jumps and the averages of the discrete solution at the interfaces need to be added to the nonconforming bilinear form to derive the stability and error estimates for the nonconforming discrete formulation. Though the analysis of nonconforming GLPS is challenging in comparison with the conforming scheme, the nonconforming scheme is preferred in parallel computing. Since the nonconforming shape functions have local support in most two cells, the sparse matrix stencil will be smaller. The communication across MPI processes is minimal, resulting in better scalability. Further, the GLPS finite element method for Darcy equations is developed and analyzed. Here, we propose a mixed finite element formulation with the GLPS technique for the Darcy equations, which avoids H(div,Ω) formulation. The equal-order interpolation spaces (P1/P1) are used to approximate the velocity and pressure approximation. In particular, the use of piecewise linear finite elements for both the velocities and the pressure results in ill-posed discretizations. Therefore, the GLPS is proposed in this work to suppress the oscillations in the approximations. Moreover, the boundary conditions are not used strongly in discrete space; hence, the discrete formulation combines standard Galerkin formulations, stabilization terms, and weakly imposed boundary conditions. The proposed bilinear form satisfies an inf-sup condition with respect to generalized local projection stabilized norm, which leads to the well-posedness of the discrete problem. Moreover, the optimal order of convergence is observed with respect to the GLPS norm. Furthermore, the above approach has also been used to study the Stokes problem. Finally, a priori analysis based on the GLPS Crouzeix-Raviart finite element approximation for the solution of Darcy equations is presented. In the present analysis, two variational stabilization formulations are considered for Darcy equations. The first includes Crouzeix-Raviart (CR) finite element space for the velocity and piecewise constant (P0) polynomial space for the pressure, i.e., (CR/P0), whereas the second includes (CR/CR). The Crouzeix-Raviart space and piecewise constant polynomial space (CR/P0) are an inf-sup stable pair. However, it is known that the finite element pair (CR/P0) does not converge when applied to the Darcy problem. In this work, this convergence issue is managed by GLPS. In the second variant, the pressure is also approximated using the linear nonconforming finite element; that is, CR is used for both velocity and pressure. This equal order finite element pair does not satisfy the inf-sup compatibility, and the GLPS handles the inf-sup violation. Moreover, a first-order convergence is observed for the piecewise constant approximation and 1.5 for the CR finite element approximation of pressure. Finally, the validation of the proposed stabilization schemes is demonstrated with appropriate numerical examples.
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Books on the topic "Nonconforming FEM"

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Sinclair, Adrian Prawns. He, her, him: Free, fer, frim. Place of publication not identified]: Adrian Prawns Sinclair, 2009.

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The trans-fer student. [North Charleston, South Carolina]: [CreateSpace Independent Publishing Platform], 2013.

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Zom-Fam. Metonymy Press, 2020.

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Fischer, Nick. Anticommunism and Political Terror. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252040023.003.0010.

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This chapter examines how political terror was used in the interwar period as yet another weapon in the campaign waged by the anticommunist movement. Several incidents of political terror that occurred in the United States after the Great War were grounded in attitudes expressed in the prosecution of leaders of revolutionary and nonconformist organizations. These attitudes were also expressed in the incarceration and even execution of symbolic scapegoats, including political prisoners, anarchists such as Nicola Sacco and Bartolomeo Vanzetti, and radicals like the Wobblies, Tom Mooney and Warren Billings. The chapter concludes with a discussion of the prevalence of racism and nativism, perpetrated by vigilante groups, as part of anticommunism's program of political terror. The movement's objective was clear: to intimidate and prevent people from supporting certain ideas and organizations by destroying the lives of a select few.
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Fürst, Juliane. Flowers Through Concrete. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198788324.001.0001.

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Flowers through Concrete: Explorations in Soviet Hippieland does what the title promises. It takes readers on a journey into a world few knew existed: the lives and thoughts of Soviet hippies, who in the face of disapproval and repression created a version of Western counterculture, skilfully adapting, manipulating, and shaping it to their late socialist environment. This book is a quasi-guide into the underground hippieland, situating the world of hippies firmly in late Soviet reality and offering an unusual history of the last Soviet decades as well as a case study in the power of transnational youth cultures. It tells the almost forgotten story of how in the late sixties hippie communities sprang up across the Soviet Union, often under the tutelage of a few rebellious youngsters coming from privileged households at the heart of the Soviet establishment. Flowers through Concrete recounts not only a compelling story of survival against the odds—hippies were harassed by police, shorn of their hair by civilian guards, and confined in psychiatric hospitals by doctors who believed nonconformism was a symptom of schizophrenia. It also advances a surprising argument: despite obvious antagonism the land of Soviet hippies and the world of late socialism were not incompatible. Indeed, Soviet hippies and late socialist reality meshed so well that the hostile, yet stable, relationship that emerged was in many ways symbiotic. Ultimately, it was not the KGB but the arrival of capitalism in the 1990s that ended the Soviet hippie sistema.
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Book chapters on the topic "Nonconforming FEM"

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Vutov, Yavor. "Parallel DD-MIC(0) Preconditioning of Nonconforming Rotated Trilinear FEM Elasticity Systems." In Large-Scale Scientific Computing, 745–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_86.

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Blaheta, Radim. "Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM." In Large-Scale Scientific Computing, 78–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_7.

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Heyse, Liesbet, and Valeska Korff. "Médecins Sans Frontières: Guardian of Humanitarian Values." In Guardians of Public Value, 263–93. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51701-4_11.

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AbstractMédecins Sans Frontières (MSF), or Doctors without Borders, was started by a few doctors and journalists in the 1970s. Today, MSF is a humanitarian actor to be reckoned with, with its emergency medicine expertise and its unique interpretation of the neutrality and independence principles. The organization has acted unconventionally in numerous humanitarian crises and criticized peer organizations in the sector. This nonconformity has never harmed MSF; the organization is highly respected by the general public. This chapter analyzes how MSF as a principled provocateur could evolve into a public guardian of humanitarian values. We posit that MSF’s controversial acts have become an integral part of its reputation; it is expected to go against the grain. However, in order to be credible, the organization works hard to uphold its ‘volunteer and humanitarian spirit’ and strives to be an effective and professional organization.
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"Frontmatter." In Gender Nonconformity and the Law, i—iii. Yale University Press, 2020. http://dx.doi.org/10.12987/9780300217858-fm.

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Smith, Steven C. "Falling Star." In Music by Max Steiner, 345–62. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190623272.003.0023.

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This chapter dissects the demise of the Hollywood studio system, caused by several factors including the incursion of television. Warner Bros.’ legendary music department became, to quote Steiner, “a ghost town”; Max was among the few composers remaining on staff. Amid constant pressure to economize, Steiner continued to do fine work. He earned Ayn Rand’s praise for his musical depiction of nonconformity in The Fountainhead, created incendiary accompaniment for James Cagney’s valedictory gangster film White Heat; and devised an evocative “glass effect in music” for The Glass Menagerie. “Steiner has written a beautiful score,” Tennessee Williams wrote Jack Warner, “one that blends perfectly with the moods of the play.” Steiner also innovated as musical supervisor of the stereo-surround blockbuster This Is Cinerama, whose panoramic image foreshadowed IMAX. But most of his assignments were cheap, forgettable programmers, and his battles with Louise over Ronald grew increasingly bitter.
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Frühauf, Tina. "Remnants in the Soviet and French Zones and Beyond." In Transcending Dystopia, 61–66. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780197532973.003.0005.

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Jewish communities in the Soviet and French Zones faced distinct situations when reconstituting musical practices. As the Soviets had not established Displaced Persons camps in their zone, only predominantly native Jews populated the communities. This affected worship as the musical practices of the Israelitische Religionsgemeinde zu Leipzig reveal. The community closely adhered to prewar customs. Outside of service, the community’s efforts paralleled those underway in mainstream Germany, specifically in the reinstatement of composers censored by the Nazis due to their Jewish descent or their nonconformist compositional style. The few Jewish communities in the French Occupation Zone faced a dearth of members, thus lacking a crucial foundation for spurring the restoration of musical practices. The musical practices in all zones of occupation share four overarching tendencies: the performance of prayer chants as cantors knew them, the adherence to classical music inside and outside worship, the inclusion of previously censored repertoires, and the fostering of Yiddish music.
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Bolden, Tony. "Songbird." In Groove Theory, 119–46. University Press of Mississippi, 2020. http://dx.doi.org/10.14325/mississippi/9781496830524.003.0005.

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This chapter examines Khan’s development into a powerhouse singer and talented songwriter as the frontwoman of Rufus. Drawing Khan’s childhood experiences described in her memoir, as well as musicologist Guthrie P. Ramsey, Jr.’s notion of black community theater, the chapter demonstrates how she transposed her rebellious spirit, evidenced briefly during high school as a volunteer worker for the Black Panther Party for Self-Defense, into a self-conscious and contrarian artist who epitomized funk aesthetics. As one of the few women funk singers who didn’t have a gospel background or grow up in a musical family, Khan developed a jazz-inflected vocal technique and a singular, Chicago-based, rhythm-and-blues sound that became a funk trademark. At the same time, the chapter demonstrates that Khan’s interpretation of funk as a concept, particularly its nonconformity, which she exemplified in exhilarating eroticism during live performances, proved to be a double-edged sword. While she captivated music fans, Khan battled executives at ABC Records over racialized images of her sexuality.
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Priyadarshini, R., K. Anuratha, N. Rajendran, and S. Sujeetha. "APMFT: Anamoly Prediction Model for Financial Transactions Using Learning Methods in Machine Learning and Deep Learning." In Advances in Parallel Computing. IOS Press, 2021. http://dx.doi.org/10.3233/apc210101.

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Anamoly is an uncommon and it represents an outlier i.e, a nonconforming case. According to Oxford Dictionary of Mathematics anamoly is defined as an unusal and erroneous observation that usually doesn’t follow the general pattern of drawn population. The process of detecting the anmolies is a process of data mining and it aims at finding the data points or patterns that do not adapt with the actual complete pattern of the data.The study on anamoly behavior and its impact has been done on areas such as Network Security, Finance, Healthcare and Earth Sciences etc. The proper detection and prediction of anamolies are of great importance as these rare observations may carry siginificant information. In today’s finanicial world, the enterprise data is digitized and stored in the cloudand so there is a significant need to detect the anaomalies in financial data which will help the enterprises to deal with the huge amount of auditing The corporate and enterprise is conducting auidts on large number of ledgers and journal entries. The monitoring of those kinds of auidts is performed manually most of the times. There should be proper anamoly detection in the high dimensional data published in the ledger format for auditing purpose. This work aims at analyzing and predicting unusal fraudulent financial transations by emplyoing few Machine Learning and Deep Learning Methods. Even if any of the anamoly like manipulation or tampering of data detected, such anamolies and errors can be identified and marked with proper proof with the help of the machine learning based algorithms. The accuracy of the prediction is increased by 7% by implementing the proposed prediction models.
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Kukulin, Ilya. "“Grey Zones” Between Official and Unofficial Cultures." In The Oxford Handbook of Soviet Underground Culture, C28.S1—C28.N28. Oxford University Press, 2023. http://dx.doi.org/10.1093/oxfordhb/9780197508213.013.28.

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Abstract This chapter examines “grey zones” existing in the post-Stalinist USSR—special forms of being public that were situated in the gap between sanctioned publication and practices of secret dissemination of texts or underground displays of artworks. Such “grey zones” were most often sanctioned “from above” at the initiative of the authorities or the security services; they could be the secret publication of “anti-Soviet” books or “youth cafes” where it was permitted to read poetry or exhibit pictures without the stern control of the censor. This chapter examines the history of Klub-81—a unique organization of unsanctioned writers created in 1981 in Leningrad under the direct control of the KGB—in some detail. Klub-81’s situation was ambiguous. Not all unsanctioned Leningrad authors joined it. A few writers and artists accused Klub-81 leader Boris Ivanov of collaborationism. At the same time, Ivanov and his like-minded associates (Boris Ostanin, Eduard Shneiderman, and others) insisted on the need to implement their own cultural agenda, primarily concerned with nonconformist art, within the framework of the club. This chapter analyzes the complex combination of cultural and political conditions that allowed this subversive task to be carried out successfully; participation in Klub-81 required ethical compromise, but taken as a whole, the club turned out to be not so much a trap as an “umbrella” for a large group of poets and prose writers in late-Soviet Leningrad.
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Eldredge, Niles. "Genes and the Evolutionary Synthesis." In Unfinished Synthesis. Oxford University Press, 1986. http://dx.doi.org/10.1093/oso/9780195036336.003.0005.

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My intention in this and the following chapter is simply to clarify what a few of the better known architects of the synthesis actually had to say about how the entire spectrum of genes through phyla really fits together. I have chosen books rather than a potpourri of articles from the (possibly) more “technical” scientific literature, for precisely this reason: it is in the books that we find the coherent, integrated statements. And each of the four books singled out for particularly close analysis—Genetics and the Origin of Species (Dobzhansky 1937a); Genetics and the Origin of Species second edition (Dobzhansky 1941); Systematics and the Origin of Species (Mayr 1942); and Tempo and Mode in Evolution (Simpson 1944)—is a truly coherent, though not necessarily smoothly linear, argument. In each, some parts seem more vital to the flow of argument than others, but it is clear to the reader from the outset that each is a complete book and not a disjointed melange of unrelated ideas. Then, too, the contents of each author’s papers are to a great extent reflected in the respective books. It is apparent, for example, that Dobzhansky was publishing a variety of papers in the 1930s (many were in his “Genetics of Natural Populations” series republished in a single volume in 1981 by Lewontin et al.) which he liberally drew upon for illustrative material in Genetics and the Origin of Species. The other sorts of papers Dobzhansky was publishing seem to be byproducts of his thinking and research for the various editions of his book. Examples are his papers on species definitions (1935) and isolating mechanisms (1937b) and his theory of the origin of isolating mechanisms by reinforcement (1940). The choice of the four particular books for special treatment in this volume needs further comment. I have omitted such nonconformist works as Robson and Richards (1936), Willis (1940), and Goldschmidt (1940) precisely because they have been almost universally considered as falling outside the limits of the synthesis. The main historical effect of such books (especially Goldschmidt’s) seems to have been as irritants.
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Conference papers on the topic "Nonconforming FEM"

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Andreev, A. B., M. R. Racheva, Michail D. Todorov, and Christo I. Christov. "Lower Bounds for Eigenvalues by Nonconforming FEM on Convex Domain." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3526633.

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LIU, HUIPO, and NINGNING YAN. "SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES OF NONCONFORMING FEM FOR BOUNDARY CONTROL GOVERNED BY STOKES EQUATIONS." In Recent Advances in Computational Sciences - Selected Papers from the International Workshop on Computational Sciences and Its Education. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812792389_0007.

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Noyes, David, and Itzhak Green. "Finite Element Analysis of Structural and Electromagnetic Effects on Asperity Contacts." In ASME/STLE 2009 International Joint Tribology Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/ijtc2009-15104.

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This work presents a combination of two dimensional (2D) and three dimensional (3D) finite element analysis (FEA) of structural and electrical contact between two nonconforming hemispheres at various vertical interferences. Items of particular interest include contact forces, current densities, and magnetic forces. The results are normalized to be applicable to micro and macro-scaled contact models. To test the validity of the analysis, the results are compared to another work focusing on contact between a hemisphere and rigid flat.
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Lowry, Robert K. "A Hermetic Package Internal Water Vapor Paradox: Nonconforming Product That Does Not Fail." In ISTFA 1998. ASM International, 1998. http://dx.doi.org/10.31399/asm.cp.istfa1998p0175.

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Abstract Corrosion in hermetically sealed electronic devices is a well-known failure mechanism that can occur when moisture in a sealed cavity condenses and destroys metallization by chemical or galvanic action. Early military standards imposed a 5000 part per million by volume (ppmv) limit on internal water vapor (IWV) in hermetic parts measured by mass spectrometry. In a recent product lot IWV non-conformance, 15 of 37 product lots and 56 of 369 units were nonconforming, with IWV ranging from 5000 to 32,000 ppmv. Root cause was outgassing from a non-robust die adhesive. Functionality of non-conforming units was investigated. Of 149 units selected from non-conforming product lots and lifetested under both static and 17.7V bias conditions at 2°C (assuring condensate in non-conforming units) for 2000 hours, none failed functionally. Subsequent analysis of 27 of these units found 17 exceeding 5000 ppmv IWV with one unit as high as 90,000 ppmv IWV. Despite the certainty of condensate internally during life tests, all units maintained functionality. Units were further investigated by internal visual inspection, glass integrity testing of die passivation, and SIMS analysis of internal surfaces for ionic impurities. The units passed all inspections and were free of any ionic impurities detectable to the few ppm level by SIMS. IWV is clearly a necessary precursor to, but not a sufficient condition for, corrosion failure. This paper discusses these results and proposes an alternative IWV criterion for product assurance.
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Bert, P. F., M. Pessiani, J. F. Combes, and J. L. Kueny. "Unsteady Flow Calculation in a Cross-Flow Fan Using a Finite Element Method." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-443.

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In order to predict rotor-stator interactions in hydraulic turbomachinery, a new multidomain method was implemented in a turbulent flow finite element code. The formulation is based on the mortar element method, extended to sliding meshes. It allows the coupling between several domains using nonconforming discretization on the interface. This method was used to study the unsteady flow in a cross-flow fan. Such fans are widely used in air-conditioning devices. They consist of a cylindrical rotor with forward curved blades, rotating in a housing. The air passes the blades twice at the inlet and the outlet of the impeller while a large vortex is noticeable inside the impeller which is located in the blading near the stabilizer. The numerical results are compared to Laser Doppler Velocity measurements and to steady calculations obtained by replacing the blades by a rotating force field. The unsteady calculation shows the formation of the vortex structure at the start-up and the periodic established flow after a few revolutions of the impeller.
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Reports on the topic "Nonconforming FEM"

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Rosenfeld and Munoz. PR-218-104503-R01 Field-Expanded Line Pipe Causes Effects on Pipeline Safety and Appropriate Responses. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), October 2012. http://dx.doi.org/10.55274/r0010785.

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Several pipeline construction projects executed between 2007 and 2009 experienced observations of pipe expansion following hydrostatic testing in the field to pressure levels produced hoop stresses near or above 100% SMYS. Owing to biaxial strength effects, the test conditions would not have been expected to cause pipe having the specified strength properties to yield during the test. The affected pipes were 36-inch OD and 42-inch OD, specified to meet the requirements of API 5L Grade X70 supplied by several manufacturers, with plate obtained from various sources. Some projects had only a few joints of pipe affected, while others experienced more widespread occurrence. The occurrence of expanded pipe joints implied that the yield strength properties of the affected pipe did not conform to specified minimum values. This study reviewed an industry-developed process for determining whether observed pipe expansion was caused by nonconformity to specifications, or by other external factors. The project also summarized current and historical industry experience with expansion of pipe during testing, reviewed factors that explain how pipe manufacturing affects finished pipe properties, reviewed how pipe strength test methods affect test results, determined how expansion affects pipeline integrity threats, made recommendations for a suitable allowable amount of diameter expansion, and made recommendations for minimizing the likelihood of obtaining pipe that could be affected during normal testing.
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