An Analysis of Some Galerkin Schemes for the Solution of Nonlinear Time-Dependent Problems
From MaRDI portal
Publication:4107423
DOI10.1137/0712042zbMath0338.65052OpenAlexW2020904586MaRDI QIDQ4107423
Publication date: 1975
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0712042
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for second-order parabolic systems (35K45)
Related Items
Finite element methods for the simulation of wave propagation in two- dimensional inhomogeneous elastic media, AD-FDSD for convection-diffusion problems, Two-time level ADI finite volume method for a class of second-order hyperbolic problems, Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation, Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations, Stability of Galerkin multistep procedures in time-homogeneous hyperbolic problems, Efficient, linearized high‐order compact difference schemes for nonlinear parabolic equations I: One‐dimensional problem, ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations, A fast numerical solution of the <scp>3D</scp> nonlinear tempered fractional integrodifferential equation, Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term, A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation, Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles, Hybrid computer solution of PDE's using Laplace-modified Galerkin approximation, The efficient ADI Galerkin finite element methods for the three-dimensional nonlocal evolution problem arising in viscoelastic mechanics, Analysis of evolutionary error in finite element and other methods, An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions, Galerkin methods for a singularly perturbed hyperbolic problem with nonlocal nonlinearity, Cosine methods for nonlinear second-order hyperbolic equations, ADI spectral collocation methods for parabolic problems, Energy-conserved splitting spectral methods for two dimensional Maxwell's equations, Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space, On efficient time-stepping methods for nonlinear partial differential equations, ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel, The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions, Cosine Methods for Nonlinear Second-Order Hyperbolic Equations, Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity
