Comparative Study of Finite Element Methods Using the Time-Accuracy-Size(TAS) Spectrum Analysis
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Publication:4562332
DOI10.1137/18M1172260zbMath1417.65224arXiv1802.07832OpenAlexW2964116207WikidataQ128786971 ScholiaQ128786971MaRDI QIDQ4562332
J. Chang, Maurice S. Fabien, Matthew G. Knepley, Richard Tran Mills
Publication date: 19 December 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.07832
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)
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Uses Software
Cites Work
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- The \texttt{deal.II} library, version 8.4
- To CG or to HDG: A comparative study
- Large-scale optimization-based non-negative computational framework for diffusion equations: parallel implementation and performance studies
- A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity
- An explicit expression for the penalty parameter of the interior penalty method
- Variational inequality approach to enforcing the non-negative constraint for advection-diffusion equations
- Automated Generation and Symbolic Manipulation of Tensor Product Finite Elements
- A Parallel Edge Orientation Algorithm for Quadrilateral Meshes
- Efficient Mesh Management in Firedrake Using PETSc DMPlex
- Firedrake
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- On Orienting Edges of Unstructured Two- and Three-Dimensional Meshes
- Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics
- Achieving Textbook Multigrid Efficiency for Hydrostatic Ice Sheet Flow
- Mechanics-Based Solution Verification for Porous Media Models
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