- Meshfree Methods: A Comprehensive Review of Applications
2017/10/18 by Sahil Garg, Mohit Pant · 1 citation
Engineering · Mathematics · #Numerical methods in engineering #Geotechnical Engineering and Underground Structures #Dam Engineering and Safety #Meshfree methods #Diffuse element method #Partial differential equation #Computer science #Galerkin method #Finite element method #Smoothed finite element method #Solid mechanics #Numerical analysis #Applied mathematics #Mathematical optimization #Mathematics #Extended finite element method #Structural engineering #Boundary knot method #Mathematical analysis #Physics #Boundary element method #Engineering #Spectral element method
- A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
2009/08/13 by Z.J. Wang, Haiyang Gao · 23 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Collocation (remote sensing) #Computational Fluid Dynamics and Aerodynamics #Computer science #Conservation law #Discontinuous Galerkin method #Discretization #Extended finite element method #Finite element method #Fluid Dynamics and Turbulent Flows #Galerkin method #Geometry #Grid #Hexahedron #Mathematical analysis #Mathematical optimization #Mathematics #Penalty method #Physics #Quadrilateral #Spectral element method #Spectral method
- Finite element exterior calculus, homological techniques, and applications
2006/05/01 by Douglas N. Arnold, Richard S. Falk, Ragnar Winther · 3 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Numerical methods in engineering #Electromagnetic Simulation and Numerical Methods #Mathematics #Finite element method #Vector calculus #Extended finite element method #Mixed finite element method #Differential algebraic geometry #Discretization #Piecewise #Algebra over a field #Differential form #Spectral element method #Mathematical analysis #Differential equation #Pure mathematics #Differential algebraic equation #Ordinary differential equation
- Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
2002/05/01 by Z.J. Wang · 7 citations
Engineering · Mathematics · #Algorithm #Applied mathematics #Bounded variation #Classification of discontinuities #Computational Fluid Dynamics and Aerodynamics #Computational science #Conservation law #Control volume #Extended finite element method #Finite element method #Finite volume method #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Mathematical analysis #Mathematics #Mechanics #Physics #Spectral element method #Spectral method #Stencil
- High-order splitting methods for the incompressible Navier-Stokes equations
1991/12/01 by George Em Karniadakis, Moshe Israeli, M. Israeli +2 · 48 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Boundary (topology) #Boundary value problem #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computer science #Finite element method #Flexibility (engineering) #Mathematical analysis #Mathematics #Mechanics #Mixed finite element method #Navier–Stokes equations #Numerical analysis #Numerical methods for differential equations #Physics #Spectral element method #Spectral method #Stability (learning theory) #Turbulence
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
1984/06/01 by Anthony T Patera, Anthony T. Patera · 59 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Collocation (remote sensing) #Computational Fluid Dynamics and Aerodynamics #Computer science #Discretization #Finite element method #Fluid Dynamics and Turbulent Flows #Geometry #Laminar flow #Mathematical analysis #Mathematics #Mechanics #Mixed finite element method #Physics #Pressure-correction method #Projection method #Spectral element method #Spectral method