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Recent Advances in Adaptive Computation

Z. - C. Shi, Z. Chen, T. Tang, and D. Yu, editors
American Mathematical Society
Publication Date: 
Number of Pages: 
Contemporary Mathematics 383
We do not plan to review this book.

  • M. Ainsworth -- A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods
  • C. Carstensen and M. Jensen -- Averaging techniques for reliable and efficient \textit{a posteriori} finite element error control: Analysis and applications
  • Z. Chen and X. Liu -- Adaptive computation with PML for time-harmonic scattering problems
  • B. Guo -- Recent progress on a-posteriori error analysis for the $p$ and $h$-$p$ finite element methods
  • R. H. W. Hoppe -- Adaptive mortar edge element methods in electromagnetic field computation
  • W. B. Liu -- Adaptive multi-meshes in finite element approximation of optimal control
  • R. Rannacher -- Adaptive finite element methods in flow computations
  • A. H. Schatz -- Maximum norm error estimates for the finite element method allowing highly refined grids
  • T. Tang -- Moving mesh methods for computational fluid dynamics
  • J. Behrens and L. Mentrup -- A conservative scheme for 2D and 3D adaptive semi-Lagrangian advection
  • L. Chen and J. Xu -- An optimal streamline diffusion finite element method for a singularly perturbed problem
  • Y. Chen -- A posteriori error estimates of mixed methods for two phase flow problems
  • M. Gunzburger and H.-C. Lee -- Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation
  • B.-O. Heimsund and X.-C. Tai -- A two-mesh superconvergence method for mesh adaptivity
  • W. Huang and X. Zhan -- Adaptive moving mesh modeling for two dimensional groundwater flow and transport
  • Y.-L. Huang and W.-C. Wang -- Adaptive computation of the corner singularity with the monotone jump condition capturing scheme
  • S. Li -- Adaptive mesh refinement and its application to magneto-hydrodynamics
  • Z. Li and X. Yang -- An immersed finite element method for elasticity equations with interfaces
  • R. Lin and Z. Zhang -- Derivative superconvergence of equilateral triangular finite elements
  • K. Liang and P. Lin -- A splitting moving mesh method for 3-D quenching and blow-up problems
  • K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone -- An adaptive algorithm for ordinary, stochastic and partial differential equations
  • N. Yan -- Recovery type a posteriori error estimate for distributed convex optimal control problems governed by integral-differential equations
  • S. Zhang and D. Yu -- A mortar element method for coupling natural boundary element method and finite element method for unbounded domain problem
  • P. A. Zegeling, W. D. de Boer, and H. Z. Tang -- Robust and efficient adaptive moving mesh solution of the 2-D Euler equations