# Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations > 28 > 2 > 492 - 505

Numerical Methods for Partial Differential Equations > 28 > 3 > 861 - 887

Numerical Methods for Partial Differential Equations > 28 > 4 > 1161 - 1177

*W*

^{2, p}with

*p*∈ (1,2]. In 2d, we infer an optimal algebraic convergence rate. In any space dimension

*d*, we achieve the same result for

*p*> 2

*d*/(

*d*+ 2). We also prove convergence without algebraic rates for exact solutions...

Numerical Methods for Partial Differential Equations > 29 > 1 > 40 - 63

*t*is small. Here, we propose a mixed formulation based on the Hellinger‐Reissner principle which is written in terms of the bending moments, the shear stress, the rotations...

Numerical Methods for Partial Differential Equations > 30 > 1 > 133 - 157

Numerical Methods for Partial Differential Equations > 31 > 2 > 459 - 499

Numerical Methods for Partial Differential Equations > 31 > 4 > 1265 - 1287

*C*

^{0}discontinuous Galerkin (CCDG) method is developed for solving the Kirchhoff plate bending problems. Based on the CDG (LCDG) method for Kirchhoff plate bending problems, the CCDG method is obtained by canceling the term of global lifting operator and enhancing the term of local lifting operator. The resulted CCDG method possesses the compact stencil, that is only the degrees of freedom...

Numerical Methods for Partial Differential Equations > 31 > 6 > 2169 - 2208

Numerical Methods for Partial Differential Equations > 33 > 4 > 1374 - 1394

*d*‐dimensional polytope with nonhomogeneous Neumann and Dirichlet boundary conditions. In addition to including a spatially and temporally varying permeability tensor into all estimates, the utilized analysis technique produces a convergence...

Numerical Methods for Partial Differential Equations > 33 > 4 > 1043 - 1069

Numerical Methods for Partial Differential Equations > 33 > 6 > 1987 - 2004

Numerical Methods for Partial Differential Equations > 33 > 6 > 1966 - 1986

Numerical Methods for Partial Differential Equations > 34 > 1 > 228 - 256

Numerical Methods for Partial Differential Equations > 34 > 4 > 1348 - 1369

*a posteriori*error bounds for semidiscrete and fully discrete problems, by making use of the

*stationary elasticity reconstruction*technique which allows to estimate the error for time‐dependent problem through the error estimation of the associated stationary elasticity problem...

Numerical Methods for Partial Differential Equations > 35 > 2 > 528 - 544

Numerical Methods for Partial Differential Equations > 35 > 2 > 509 - 527

Numerical Methods for Partial Differential Equations > 35 > 2 > 615 - 637

Numerical Methods for Partial Differential Equations > 35 > 4 > 1509 - 1537

Numerical Methods for Partial Differential Equations > 35 > 5 > 1694 - 1716