Recent Progress in Computational and Applied PDES

Shift Theorems for the Biharmonic Dirichlet Problem.- Numerical Methods for Schrödinger Equations.- Inverse Doping Problems for Semiconductor Devices.- Superconductivity Analogies, Ferroelectricity and Flow Defects in Liquid Crystals.- Bayesian Inpainting Based on Geometric Image Models.- A Combination of Algebraic Multigrid Algorithms with the Conjugate Gradient Technique.- Basic Structures of Superconvergence in Finite Element Analysis.- A Posteriori Error Estimates for Mixed Finite Elements of a Quadratic Control Problem.- Superconvergence of Least-Squares Mixed Finite Element Approximations over Quadrilaterals.- A Posteriori Error Analysis and Adaptive Methods for Parabolic Problems.- Numerical Computation of Quantized Vortices in the Bose-Einstein Condensate.- An Optimization Algorithm for the Meteorological Data Assimilation Problem.- Analytic Aspects of Yang-Mills Fields.- The Shape Optimization of Axisymmetric Structures Based on Fictitious Loads Variable.- A New Kind of Preconditioner for Interface Equations of Mortar Multipliers on Subspaces.- An Optimal Error Estimate for an h-p Clouds Galerkin Method.- Some Problems in Large Scale Non-Hermitian Matrix Computations.- Global Propagation of Regular Nonlinear Hyperbolic Waves.- Numerical Simulation of 3D Shallow Water Waves on Sloping Beach.- High Performance Finite Element Methods.- Algebraic Multigrid Method On Lattice Block Materials.- On the Existence of Symmetric Three Dimensional Finger Solutions.- A Combined Mixed Finite Element and Discontinuous Galerkin Method for Mis-cible Displacement Problem in Porous Media.- Numerical Simulation and Coarse-Graining of Large Particle Systems.- Modeling and Simulations for Electrochemical Power Systems.- On the Error Estimates of the Fully Discrete Nonlinear GalerkinMethod with Variable Modes to Kuramoto-Sivashinsky Equation.- A Perturbed Density-Dependent Navier-Stokes Equation.- A Cascadic Multigrid Method for Solving Obstacle Problems.- The Fundamental Equation of Two-Dimensional Layer Flows of the Melt Feedstock in the Powder Injection Molding Process.