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Method of solving a boundary value problem for a second order ODE on a sequence of adaptively refined and coarsened meshesстатья
Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
- Автор: Nikolaev E.S.
- Журнал: Moscow University Computational Mathematics and Cybernetics
- Номер: 4
- Год издания: 2004
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 1
- Последняя страница: 14
- Аннотация: A version of FEM is constructed with piecewise-linear basic function which makes it possible to find, on a sequence of meshes adaptive to the solution, an approximate solution of the first boundary value problem for second-order linear ordinary differential equation with a required accuracy. New strategy of mesh refinement and coarsening are proposed based on the estimates of variation in norm C of the approximate solution upon an addition of a trial node to the interval of the grid and trial removal of a node from a current grid. Numerical experiments are carried out on the estimation of the efficiency of the method using problems whose solutions have a singularity of the type of a boundary layer.
- Добавил в систему: Николаев Евгений Сергеевич