Contemporary Mathematics 2005; 386 pp; softcover Volume: 383 ISBN10: 0821836625 ISBN13: 9780821836620 List Price: US$120 Member Price: US$96 Order Code: CONM/383
 There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation. Readership Graduate students and research mathematicians interested in methods of computation. Table of Contents  M. Ainsworth  A synthesis of a posteriori error estimation techniques for conforming, nonconforming and discontinuous Galerkin finite element methods
 C. Carstensen and M. Jensen  Averaging techniques for reliable and efficient a posteriori finite element error control: Analysis and applications
 Z. Chen and X. Liu  Adaptive computation with PML for timeharmonic scattering problems
 B. Guo  Recent progress on aposteriori 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 multimeshes 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 semiLagrangian 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  Reducedorder modeling of NavierStokes equations via centroidal Voronoi tessellation
 B.O. Heimsund and X.C. Tai  A twomesh 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 magnetohydrodynamics
 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 3D quenching and blowup 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 integraldifferential 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 2D Euler equations
