[PDF] Top 20 Finite element error estimates for nonlinear elliptic problems of monotone type

... In Chapter 6 , we use the method developed earlier to establish a variational formulation for a class of nonlinear vectorial boundary value problems and to derive error estimates for the[r] ... See full document

... priori error estimates for nonlinear parabolic optimal control problems by mixed finite element ...posteriori error estimates of triangular mixed finite element ... See full document

... mixed finite element method (MFEM) for the second order elliptic problems, in which the scheme just satisfies the discrete ...discrete problems are obtained, and the optimal O(h 2 ) ... See full document

... This type of methods usually incorporates the interface conditions into the finite difference scheme near the interface to achieve second- or higher-order accuracy based on a Taylor expansion in a local coordinate ... See full document

... resolvent estimates of elliptic differential and finite-element operators in pairs of function spaces, for which the first space in a pair is endowed with stronger ...with estimates in (Lebesgue, ... See full document

... posteriori error estimates for the hp finite element approximation of semilinear Neumann boundary elliptic optimal control ...finite element approximation for both the state and the ... See full document

... priori error estimates for the optimal control problems governed by elliptic equations using higher order variational discretization and mixed finite element ...mixed ... See full document

... posteriori error bounds have been ...approximating finite element method, this upper bound holds on general 1-irregular ...true error measured in the DGFEM energy norm on sequences of ... See full document

... priori error estimates and superconvergence for linear quadratic optimal control problems using mixed finite-element ...ori error estimates of mixed finite-element methods ... See full document

... finite element spaces, and the control is approximated by piecewise polynomials of order k (k ≥ ...posteriori error estimates are given in Lemma 2.1 by using mixed elliptic reconstruction ... See full document

... posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...mixed elliptic reconstruction to derive the a ... See full document

... linear elliptic homogenization problems, nonlinear monotone elliptic homogeniza- tion problems and nonlinear nonmonotone elliptic homogenization problems in ... See full document

... The paper is organized as follows. In Section , we shall construct the hp finite element approximation for nonlinear parabolic optimal control problems. In Section , we derive hp a posteriori ... See full document

... In this paper, we derive the finite element error estimates for the approximate solution of mildly nonlinear boundary value problems having auxiliary constraint conditions... ulate it in[r] ... See full document

... of nonlinear fractional stochastic partial differential equations has been discussed in ...of nonlinear fractional Sobolev-type stochastic differential equations under non-Lipschitz conditions was dis- ... See full document

... finite element discretization of optimal control problems has been extensively inves- tigated in early ...quadratic elliptic optimal control problems by Falk [] and Geveci ...posteriori ... See full document

... various problems of PDEs; see some re- cent references in [2, 4, 5, 23], and we also refer the reader to Xiao [32], who character- ized a nonnegative Radon measure μ on R d to produce a continuous map ... See full document

... 4 Augmented method for discontinuous coefficients and error estimates In continuous cases, the augmented variable g needs to be chosen such that the interface condition (2.6) is satisfied. In the augmented ... See full document

... for elliptic gradient estimates for f -Laplacian under the ∞-Bakry–Émery Ricci curvature, in order to using the weighted comparison theorem, the assumption |∇ f | ≤ θ is forced ... See full document

... Elasticity interface problems (1.7)– (1.10) with such jump conditions often occur in material science. For example, in [22], they simulate the diffusional evolution of microstructure in stressed solids which ... See full document