Recent Advances in Adaptive Computation

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