A Numerical Energy Reduction Approach for Semilinear Diffusion-Reaction Boundary Value Problems Based on Steady-State Iterations
DOI10.1137/22M1478586MaRDI QIDQ5889028
Mario Amrein, Thomas P. Wihler, Pascal Heid
Publication date: 26 April 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.07398
energy minimizationadaptive finite element methodssteady statessemilinear elliptic PDEfixed-point iterationsiterative Galerkin procedures
Equations involving nonlinear operators (general) (47J05) Variational methods applied to PDEs (35A15) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Numerical solutions to equations with nonlinear operators (65J15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Numerical analysis (65-XX)
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