Journal articles on the topic 'High-Order finite element methods'
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Abreu, Eduardo, Ciro Díaz, Juan Galvis, and Marcus Sarkis. "On high-order conservative finite element methods." Computers & Mathematics with Applications 75, no. 6 (March 2018): 1852–67. http://dx.doi.org/10.1016/j.camwa.2017.10.020.
Harari, Isaac, and Danny Avraham. "High-Order Finite Element Methods for Acoustic Problems." Journal of Computational Acoustics 05, no. 01 (March 1997): 33–51. http://dx.doi.org/10.1142/s0218396x97000046.
Bagheri, Babak, L. Ridgway Scott, and Shangyou Zhang. "Implementing and using high-order finite element methods." Finite Elements in Analysis and Design 16, no. 3-4 (June 1994): 175–89. http://dx.doi.org/10.1016/0168-874x(94)90063-9.
Lin, Qun, and Junming Zhou. "Superconvergence in high-order Galerkin finite element methods." Computer Methods in Applied Mechanics and Engineering 196, no. 37-40 (August 2007): 3779–84. http://dx.doi.org/10.1016/j.cma.2006.10.027.
Larson, Mats G., and Sara Zahedi. "Stabilization of high order cut finite element methods on surfaces." IMA Journal of Numerical Analysis 40, no. 3 (April 25, 2019): 1702–45. http://dx.doi.org/10.1093/imanum/drz021.
Winther, Kaibo Hu &. Ragnar. "Well-Conditioned Frames for High Order Finite Element Methods." Journal of Computational Mathematics 39, no. 3 (June 2021): 333–57. http://dx.doi.org/10.4208/jcm.2001-m2018-0078.
Dobrev, Veselin A., Tzanio V. Kolev, and Robert N. Rieben. "High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics." SIAM Journal on Scientific Computing 34, no. 5 (January 2012): B606—B641. http://dx.doi.org/10.1137/120864672.
Yurun, Fan, and M. J. Crochet. "High-order finite element methods for steady viscoelastic flows." Journal of Non-Newtonian Fluid Mechanics 57, no. 2-3 (May 1995): 283–311. http://dx.doi.org/10.1016/0377-0257(94)01338-i.
Opschoor, Joost A. A., Philipp C. Petersen, and Christoph Schwab. "Deep ReLU networks and high-order finite element methods." Analysis and Applications 18, no. 05 (February 21, 2020): 715–70. http://dx.doi.org/10.1142/s0219530519410136.
Jund, Sébastien, and Stéphanie Salmon. "Arbitrary High-Order Finite Element Schemes and High-Order Mass Lumping." International Journal of Applied Mathematics and Computer Science 17, no. 3 (October 1, 2007): 375–93. http://dx.doi.org/10.2478/v10006-007-0031-2.
Akrivis, Georgios. "High-order finite element methods for the Kuramoto-Sivashinsky equation." ESAIM: Mathematical Modelling and Numerical Analysis 30, no. 2 (1996): 157–83. http://dx.doi.org/10.1051/m2an/1996300201571.
Vidal-Ferràndiz, A., S. González-Pintor, D. Ginestar, G. Verdú, M. Asadzadeh, and C. Demazière. "Use of discontinuity factors in high-order finite element methods." Annals of Nuclear Energy 87 (January 2016): 728–38. http://dx.doi.org/10.1016/j.anucene.2015.06.021.
Xiao, Yuanming, Jinchao Xu, and Fei Wang. "High-order extended finite element methods for solving interface problems." Computer Methods in Applied Mechanics and Engineering 364 (June 2020): 112964. http://dx.doi.org/10.1016/j.cma.2020.112964.
Rank, Ernst, Zohar Yosibash, and Alexander Düster. "HOFEM07 – International workshop on high-order finite element methods, 2007." Computer Methods in Applied Mechanics and Engineering 198, no. 13-14 (March 2009): 1125. http://dx.doi.org/10.1016/j.cma.2009.01.002.
MIURA, Shinichiro. "214 Turbulent channel flow Analysis of Finite Element Methods with High-Order Element." Proceedings of Conference of Kansai Branch 2006.81 (2006): _2–20_. http://dx.doi.org/10.1299/jsmekansai.2006.81._2-20_.
Lu, Qiukai, Mark S. Shephard, Saurabh Tendulkar, and Mark W. Beall. "Parallel mesh adaptation for high-order finite element methods with curved element geometry." Engineering with Computers 30, no. 2 (September 20, 2013): 271–86. http://dx.doi.org/10.1007/s00366-013-0329-7.
Cui, Ming, Yanxin Su, and Dong Liang. "High-Order Finite Volume Methods for Aerosol Dynamic Equations." Advances in Applied Mathematics and Mechanics 8, no. 2 (January 27, 2016): 213–35. http://dx.doi.org/10.4208/aamm.2013.m362.
Świrydowicz, Kasia, Noel Chalmers, Ali Karakus, and Tim Warburton. "Acceleration of tensor-product operations for high-order finite element methods." International Journal of High Performance Computing Applications 33, no. 4 (January 9, 2019): 735–57. http://dx.doi.org/10.1177/1094342018816368.
Jiang, Yingjun, and Jingtang Ma. "High-order finite element methods for time-fractional partial differential equations." Journal of Computational and Applied Mathematics 235, no. 11 (April 2011): 3285–90. http://dx.doi.org/10.1016/j.cam.2011.01.011.
Wildey, Tim, Sriramkrishnan Muralikrishnan, and Tan Bui-Thanh. "Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods." SIAM Journal on Scientific Computing 41, no. 5 (January 2019): S172—S195. http://dx.doi.org/10.1137/18m1193505.
Li, Long-yuan, and Peter Bettess. "Adaptive Finite Element Methods: A Review." Applied Mechanics Reviews 50, no. 10 (October 1, 1997): 581–91. http://dx.doi.org/10.1115/1.3101670.
Bradji, Abdallah, and Jürgen Fuhrmann. "Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method." Mathematica Bohemica 139, no. 2 (2014): 125–36. http://dx.doi.org/10.21136/mb.2014.143843.
Yi, Tae-Hyeong, and Francis X. Giraldo. "Vertical Discretization for a Nonhydrostatic Atmospheric Model Based on High-Order Spectral Elements." Monthly Weather Review 148, no. 1 (December 27, 2019): 415–36. http://dx.doi.org/10.1175/mwr-d-18-0283.1.
Gao, Yichao, Feng Jin, Xiang Wang, and Jinting Wang. "Finite Element Analysis of Dam-Reservoir Interaction Using High-Order Doubly Asymptotic Open Boundary." Mathematical Problems in Engineering 2011 (2011): 1–23. http://dx.doi.org/10.1155/2011/210624.
Keith, Brendan. "A priori error analysis of high-order LL* (FOSLL*) finite element methods." Computers & Mathematics with Applications 103 (December 2021): 12–18. http://dx.doi.org/10.1016/j.camwa.2021.10.015.
Diosady, Laslo T., and Scott M. Murman. "Scalable tensor-product preconditioners for high-order finite-element methods: Scalar equations." Journal of Computational Physics 394 (October 2019): 759–76. http://dx.doi.org/10.1016/j.jcp.2019.04.047.
Ainsworth, Mark. "Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods." Journal of Computational Physics 198, no. 1 (July 2004): 106–30. http://dx.doi.org/10.1016/j.jcp.2004.01.004.
Adjerid, Slimane, Mohammed Aiffa, and Joseph E. Flaherty. "High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems." SIAM Journal on Applied Mathematics 55, no. 2 (April 1995): 520–43. http://dx.doi.org/10.1137/s0036139993269345.
Giani, Stefano. "High-order/ $$hp$$ -adaptive discontinuous Galerkin finite element methods for acoustic problems." Computing 95, S1 (December 20, 2012): 215–34. http://dx.doi.org/10.1007/s00607-012-0253-5.
Iskandarani, M., J. C. Levin, B. J. Choi, and D. B. Haidvogel. "Comparison of advection schemes for high-order h–p finite element and finite volume methods." Ocean Modelling 10, no. 1-2 (January 2005): 233–52. http://dx.doi.org/10.1016/j.ocemod.2004.09.005.
Lu, Hongqiang, Kai Cao, Lechao Bian, and Yizhao Wu. "High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation." Advances in Applied Mathematics and Mechanics 8, no. 4 (May 27, 2016): 693–702. http://dx.doi.org/10.4208/aamm.2014.m618.
Turusbekova, U. K., M. M. Muratbekov, and S. A. Altynbek. "RESEARCH OF ALGORITHMS FOR SEARCHING PRIMITIVE ELEMENTS OF A FINITE FIELD OF HIGH ORDER." Herald of the Kazakh-British technical university 21, no. 1 (March 25, 2024): 85–93. http://dx.doi.org/10.55452/1998-6688-2024-21-1-85-93.
Dziuk, Gerhard, and Charles M. Elliott. "Finite element methods for surface PDEs." Acta Numerica 22 (April 2, 2013): 289–396. http://dx.doi.org/10.1017/s0962492913000056.
Jones, Derrick, and Xu Zhang. "A high order immersed finite element method for parabolic interface problems." ITM Web of Conferences 29 (2019): 01007. http://dx.doi.org/10.1051/itmconf/20192901007.
Nshimiyimana, J. D., F. Plumier, C. Ndagije, J. Gyselinck, and C. Geuzain. "High Order Relaxation Methods for Co-simulation of Finite Element and Circuit Solvers." Advanced Electromagnetics 9, no. 1 (March 20, 2020): 49–58. http://dx.doi.org/10.7716/aem.v9i1.1245.
Zhang, Xiaodi. "High order interface-penalty finite element methods for elasticity interface problems in 3D." Computers & Mathematics with Applications 114 (May 2022): 161–70. http://dx.doi.org/10.1016/j.camwa.2022.03.044.
Lehrenfeld, Christoph. "High order unfitted finite element methods on level set domains using isoparametric mappings." Computer Methods in Applied Mechanics and Engineering 300 (March 2016): 716–33. http://dx.doi.org/10.1016/j.cma.2015.12.005.
Sehlhorst, H. G., R. Jänicke, A. Düster, E. Rank, H. Steeb, and S. Diebels. "Numerical investigations of foam-like materials by nested high-order finite element methods." Computational Mechanics 45, no. 1 (September 18, 2009): 45–59. http://dx.doi.org/10.1007/s00466-009-0414-3.
Li, Maojun, and Aimin Chen. "High order central discontinuous Galerkin-finite element methods for the Camassa–Holm equation." Applied Mathematics and Computation 227 (January 2014): 237–45. http://dx.doi.org/10.1016/j.amc.2013.11.016.
Deng, Quanling, Victor Ginting, and Bradley McCaskill. "Construction of locally conservative fluxes for high order continuous Galerkin finite element methods." Journal of Computational and Applied Mathematics 359 (October 2019): 166–81. http://dx.doi.org/10.1016/j.cam.2019.03.049.
Gawlik, Evan S., and Adrian J. Lew. "High-order finite element methods for moving boundary problems with prescribed boundary evolution." Computer Methods in Applied Mechanics and Engineering 278 (August 2014): 314–46. http://dx.doi.org/10.1016/j.cma.2014.05.008.
Sherwin, Spencer J., and George Em Karniadakis. "A new triangular and tetrahedral basis for high-order (hp) finite element methods." International Journal for Numerical Methods in Engineering 38, no. 22 (November 30, 1995): 3775–802. http://dx.doi.org/10.1002/nme.1620382204.
Huang, Weijie, Weijun Ma, Liang Wei, and Zhiping Li. "High‐order dual‐parametric finite element methods for cavitation computation in nonlinear elasticity." Numerical Methods for Partial Differential Equations 36, no. 5 (January 10, 2020): 1012–27. http://dx.doi.org/10.1002/num.22462.
Attanayake, Champike, So-Hsiang Chou null, and Quanling Deng. "High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions." International Journal of Numerical Analysis and Modeling 20, no. 6 (June 2023): 870–95. http://dx.doi.org/10.4208/ijnam2023-1038.
夏, 有伟. "High Order Central Discontinuous Galerkin-Finite Element Methods for the abcd Boussinesq System." Advances in Applied Mathematics 12, no. 10 (2023): 4288–99. http://dx.doi.org/10.12677/aam.2023.1210422.
Followell, David, Salvatore Liguore, Rigo Perez, W. Yates, and William Bocchi. "Computer-Aided Reliability Finite Element Methods." Journal of the IEST 34, no. 5 (September 1, 1991): 46–52. http://dx.doi.org/10.17764/jiet.2.34.5.9720337614871186.
Feng, Gang Chen and Minfu. "Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements." Advances in Applied Mathematics and Mechanics 10, no. 1 (June 2018): 77–99. http://dx.doi.org/10.4208/aamm.2016.m1182.
Houston, Paul, Christoph Schwab, and Endre Süli. "Stabilizedhp-Finite Element Methods for First-Order Hyperbolic Problems." SIAM Journal on Numerical Analysis 37, no. 5 (January 2000): 1618–43. http://dx.doi.org/10.1137/s0036142998348777.
Farthing, Matthew W., Christopher E. Kees, and Cass T. Miller. "Mixed finite element methods and higher-order temporal approximations." Advances in Water Resources 25, no. 1 (January 2002): 85–101. http://dx.doi.org/10.1016/s0309-1708(01)00022-7.
Lin, T., Y. Lin, W. W. Sun, and Z. Wang. "Immersed finite element methods for 4th order differential equations." Journal of Computational and Applied Mathematics 235, no. 13 (May 2011): 3953–64. http://dx.doi.org/10.1016/j.cam.2011.01.041.