Browsing Mathematics, Statistics, and Physics by Subject "Adaptivity"
Now showing items 1-3 of 3
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An adaptive multiresolution interior penalty discontinuous Galerkin Method for wave equations in second order form
(Springer, 2020-10-04)In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) discontinuous Galerkin (DG) methods for simulating scalar wave equations in second order form in space. The two key ingredients ... -
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer, 2021-01-25)This paper develops a high-order adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving ... -
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer Link, 2021-01-25)This paper develops a high-order adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving ...