SIAM Journal on Numerical Analysis, Vol. 56, No. 1 (2018), pp. 274-295 (22 pages) In this paper, a numerical solution of partial differential equations on the unit sphere is given by using a kernel ...
Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...
In this paper we introduce a Petrov-Galerkin approximation model to the solution of linear and semi-linear elliptic boundary value problems in which piecewise quadratic polynomial space and piecewise ...
Discontinuous Galerkin time-domain (DGTD) methods represent a significant evolution in the numerical simulation of electromagnetic phenomena. By decomposing the spatial domain into a series of ...
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