New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
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Publication:4683930
DOI10.1137/18M1175549zbMath1397.65158DBLPjournals/siamsc/GeeversMV18arXiv1803.10065WikidataQ57880046 ScholiaQ57880046MaRDI QIDQ4683930
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Publication date: 26 September 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10065
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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More continuous mass-lumped triangular finite elements ⋮ A new family of high‐order triangular weight functions for mass lumping in vibration analysis ⋮ A nodal immersed finite element-finite difference method ⋮ Unisolvence of symmetric node patterns for polynomial spaces on the simplex ⋮ Efficient Quadrature Rules for Computing the Stiffness Matrices of Mass-Lumped Tetrahedral Elements for Linear Wave Problems ⋮ On a Second-Order Multipoint Flux Mixed Finite Element Methods on Hybrid Meshes ⋮ On Energy Preserving High-Order Discretizations for Nonlinear Acoustics ⋮ A Second Order Finite Element Method with Mass Lumping for Wave Equations in H(div) ⋮ Doubling the Convergence Rate by Pre- and Post-Processing the Finite Element Approximation for Linear Wave Problems ⋮ Stabilized leapfrog based local time-stepping method for the wave equation ⋮ High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations ⋮ A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra ⋮ High-order implicit time integration scheme based on Padé expansions
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