Adaptive Local Minimax Galerkin Methods for Variational Problems
DOI10.1137/20M1319863zbMath1481.65225arXiv2002.06915MaRDI QIDQ4997359
Publication date: 29 June 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.06915
critical point theoryvariational problemsadaptive mesh refinementsiterative Galerkin discretizationsmountain pass algorithmssingularly perturbed semilinear elliptic PDE
Iterative procedures involving nonlinear operators (47J25) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solutions to equations with nonlinear operators (65J15) Discrete approximations in optimal control (49M25) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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