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2011, Chapman & Hall/CRC numerical analysis and scientific computation series, ISBN 9781439821589, xx, 463
.... The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions... 
Numerical solutions | Galerkin methods | Differential equations
Book
01/2019, ISBN 3038976679
.... The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features... 
structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator
eBook
2012, 1. Aufl., ISBN 9780470572375, xvi, 335
"This is the first book to specifically address the explicit finite element method for nonlinear transient dynamics... 
Finite element method | Numerical analysis | MATHEMATICS / Mathematical Analysis | Mathematics | Finite Mathematics
Book
International journal for numerical methods in engineering, ISSN 0029-5981, 10/2008, Volume 76, Issue 1, pp. 56 - 83
Journal Article
2019, SpringerBriefs in mathematics, ISBN 303027229X, 131
This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method... 
Finite element method | Galerkin methods
eBook
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 04/2018, Volume 332, pp. 303 - 324
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 08/2018, Volume 338, pp. 533 - 561
Journal Article
Journal Article
Mathematics of computation, ISSN 0025-5718, 04/2014, Volume 83, Issue 286, pp. 537 - 552
We give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation... 
DPG method | Petrov-Galerkin | Ultraweak formulation | Discontinuous galerkin | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 03/2013, Volume 241, Issue 1, pp. 103 - 115
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 09/2015, Volume 285, pp. 45 - 58
The weak Galerkin (WG) is a novel numerical method based on variational principles for weak functions and their weak partial derivatives defined as distributions... 
Second-order elliptic equation | Discrete weak gradient | Weak Galerkin | Finite element methods | Weak gradient | Polyhedral meshes | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Finite element method | Analysis | Methods |