Unified Analysis of Finite Element Methods for Problems with Moving Boundaries

DOI10.1137/140990437zbMath1330.65140OpenAlexW2221802958MaRDI QIDQ3462236

Adrian J. Lew, Evan S. Gawlik

Publication date: 5 January 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5d06c82cdc1b101441ce2bbffe3dfb0275a645e2

zbMATH Keywords

finite element methodssemidiscretea priori error analysisabstract parabolic problemmoving-boundary problemdynamic mesharbitrary Lagrangian-Eulerian schemes

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Moving boundary problems for PDEs (35R37)

Related Items

Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation ⋮ High-order finite element methods for moving boundary problems with prescribed boundary evolution ⋮ New aspects of the CISAMR algorithm for meshing domain geometries with sharp edges and corners ⋮ Supercloseness of orthogonal projections onto nearby finite element spaces

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