Mesh Methods Numerical Analysis and Experiments

• Other Authors: Rukavishnikov, Viktor A. (Editor), Lima, Pedro M. (Editor), Badriev, Ildar B. (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Information technology industries; high-order methods; Brinkman penalization; discontinuous Galerkin methods; embedded geometry; high-order boundary; IMEX Runge-Kutta methods; boundary value problems with degeneration of the solution on entire boundary of the domain; the method of finite elements; special graded mesh; multigrid methods; Hermitian/skew-Hermitian splitting method; skew-Hermitian triangular splitting method; strongly non-Hermitian matrix; lie symmetries; invariantized difference scheme; numerical solutions; finite integration method; shifted Chebyshev polynomial; direct and inverse problems; Volterra integro-differential equation; Tikhonov regularization method; quartic spline; triangulation; scattered data; continuity; surface reconstruction; positivity-preserving; interpolation; jaw crusher; symmetrical laser cladding path; FEPG; wear
• Online Access: DOAB: download the publication; DOAB: description of the publication

Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solu...