• # HLLC

• Referenced in 65 articles [sw06530]
• phase flow We first construct an approximate Riemann solver of the HLLC-type ... framework of finite volume, discontinuous Galerkin finite element and path-conservative schemes. We systematically assess...
• # T-IFISS

• Referenced in 13 articles [sw23889]
• novel adaptive algorithm implementing the stochastic Galerkin finite element method for numerical solution of elliptic ... estimates of the error reduction for enhanced approximations. These error reduction indicators are used ... refinement of spatial and parametric components of Galerkin approximations. The results of numerical tests demonstrating...
• # Algorithm 840

• Referenced in 26 articles [sw04463]
• spectral elements” or “$p$-type finite elements”, have become very popular. Recent studies suggest that ... functions themselves are computed by a Legendre-Galerkin discretization of the prolate differential equation; this ... with $c$ are well-approximated by a symmetric parabola over the whole range of interest...
• # MUSTA

• Referenced in 12 articles [sw09091]
• framework of finite volume and discontinuous Galerkin finite elements require, as the building block ... scheme may be interpreted as an unconventional approximate Riemann solver that has simplicity and generality...
• # CESAM

• Referenced in 4 articles [sw41162]
• collocation method based on piecewise polynomials approximations projected on a B-spline basis; that allows ... diffusion equation employs the Galerkin finite elements scheme; the mixing of chemicals is then performed...
• # ManifoldCode

• Referenced in 1 article [sw06974]
• parallel adaptive multilevel finite element code developed by Michael Holst over a number of years ... ANSI/ISO C. MC is designed to numerically approximate the solutions of covariant divergence-form second ... triangulations of the domain manifold, Petrov-Galerkin finite element methods, a posteriori error estimation, adaptive...
• # SeisSol

• Referenced in 1 article [sw00843]
• arbitrary high-order Discontinuous Galerkin (DG) Finite-Element method to model seismic wave propagation using ... point-wise integration of numerical fluxes across element interfaces for the non-conforming boundaries preserving ... material variations inside each element using the same numerical approximation strategy as for the velocity...
• # PDE App

• Referenced in 1 article [sw32482]
• model construction, underlying “truth” finite element PDE discretization, (Petrov)-Galerkin projection, static condensation ... online, or deployed, stage of the SCRBE approximation for a particular parametrized model: User model...