Recent advances in adaptive computation : proceedings of the International Conference on Recent Advances in Adaptive Computation, May 24-28, 2004, Zhejiang University, Hangzhou, China

Contents.
Preface.
A Synthesis of A Posteriori Error Estimation Techniques for Conforming, Non-Conforming and Discontinuous Galerkin Finite Element Methods.
Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications.
Adaptive Computation with PML for Time-harmonic Scattering Problems.
Recent Progress on A-posteriori Error Analysis for the p and h-p Finite Element Methods.
Adaptive Mortar Edge Element Methods in Electromagnetic Field Computation.
1. Introduction.
2. The Hilbert spaces and its trace spaces.
3. Macrohybrid formulation of the eddy currents equation.
4. Mortar edge element approximations.
5. Multilevel iterative solution methods.
6. Residual-type a posteriori error estimators.
7. Numerical Results.
References.
Adaptive Multi-Meshes in Finite Element Approximation of Optimal Control.
Maximum Norm Error Estimates for the Finite Element Method Allowing Highly Refined Grids.
Moving Mesh Methods for Computational Fluid Dynamics.
1. Introduction.
2. Interpolation free MMM.
3. MMM using interpolation I: finite element approach.
4. MMM using interpolation II: finite volume approach.
5. Application I: incompressible flow simulations.
6. Application II: hyperbolic conservation laws.
7. Concluding remarks.
References.
A Conservative Scheme for 2D and 3D Adaptive Semi-Lagrangian Advection.
An Optimal Streamline Diffusion Finite Element Method for a Singularly Perturbed Problem.
A Posteriori Error Estimates of Mixed Methods for Two Phase Flow Problems.
Reduced-order Modeling of Navier-Stokes Equations via Centroidal Voronoi Tessellation.
A Two-mesh Superconvergence Method for Mesh Adaptivity.
Adaptive Moving Mesh Modeling for Two Dimensional Groundwater Flow and Transport.
Adaptive Computation of the Corner Singularity with the Monotone Jump Condition Capturing Scheme.
Adaptive Mesh Refinement and its Application to Magneto-Hydrodynamics.
An Immersed Finite Element Method for Elasticity Equations with Interfaces.
Derivative Superconvergence of Equilateral Triangular Finite Elements.
A Splitting Moving Mesh Method for 3-D Quenching and Blow-Up Problems.
An Adaptive Algorithm for Ordinary, Stochastic and Partial Differential Equations.
Recovery Type A Posteriori Error Estimate for Distributed Convex Optimal Control Problems Governed by Integral-differential Equations.
A Mortar Element Method for Coupling Natural Boundary Element Method and Finite Element Method for Unbounded Domain Problem.
Robust and Efficient Adaptive Moving Mesh Solution of the 2-D Euler Equations cont.