Numerical Methods To Solve PDEs
The three most widely used numerical methods to solve PDEs are the finite element method (FEM), finite volume methods (FVM) and finite difference methods (FDM). The FEM has a prominent position among these methods and especially its exceptionally efficient higher-order version hp-FEM. Other versions of FEM include the generalized finite element method (GFEM), extended finite element method (XFEM), spectral finite element method (SFEM), meshfree finite element method, discontinuous Galerkin finite element method (DGFEM), etc.
Read more about this topic: Partial Differential Equation
Famous quotes containing the words numerical, methods and/or solve:
“The terrible tabulation of the French statists brings every piece of whim and humor to be reducible also to exact numerical ratios. If one man in twenty thousand, or in thirty thousand, eats shoes, or marries his grandmother, then, in every twenty thousand, or thirty thousand, is found one man who eats shoes, or marries his grandmother.”
—Ralph Waldo Emerson (18031882)
“All men are equally proud. The only difference is that not all take the same methods of showing it.”
—François, Duc De La Rochefoucauld (16131680)
“The wisest thing a parent can do is to let preschool children figure out themselves how to draw the human figure, or solve a whole range of problems, from overcoming Saturday-morning boredom to dealing with a neighborhood bully. But even while standing on the sidelines, parents can frequently offer support in helping children discover what they want to accomplish.”
—John F. Clabby (20th century)