Pavel Solin - Citations

Citations (as of Spring 2007)

Monograph "Higher-Order Finite Element Methods"

M. Brasher, R. Haimes: Rendering Planar Cuts Through Quadratic and Cubic Finite Elements, Proceedings of IEEE Visualization 2004 (VIS'04), October 10 - 15, 2004 Austin, Texas, pp. 409-416.
T. Eibner, J.M. Melenk: Use of higher-order shape functions in the scaled boundary finite element method. Report, University of Reading, 2005.
K.J. Fidkowski: A high-order discontinuous Galerkin multigrid solver for aerodynamic applications, Master's Thesis, Massachussetts Institute of Technology.
J.S. Hesthaven, T. Warburton: High order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem, Phil. Trans. Math. Phys. Engrg. Sci., Vol. 362, 2004, pp. 493 - 524.
J.J. Heys, T.A. Manteuffel, S.F. McCormick, L.N. Olson: Algebraic Multigrid (AMG) for Higher-Order Finite Elements, Journal of Computational Physics, to appear.
P.D. Ledger, K. Morgan: The Application of the hp–Finite Element Method to Electromagnetic Problems, Invited review article for Archives of Computational Methods in Science and Engineering, August 2004.
Yves Renard, Julien Pommier: Documentation to GETFEM++, Part 3, A Generic Finite Element Library in C++, Description of Finite Element and Integration Methods, Toulouse, France, 2004.
M.A. Taylor, B.A. Wingate, L.P. Bos: Several new quadrature formulas for polynomial integration in the triangle, submitted.
M.A. Taylor, B.A. Wingate, L. Bos: A Cardinal Function Algorithm for Computing Multivariate Quadrature Points, SIAM J. Numer. Anal., 2005.
T.H. Vu, A.J. Deeks: Use of higher-order shape functions in the scaled boundary finite element method.
T. Warburton, M. Embree: The Role of the Penalty in the Local Discontinuous Galerkin Method for Maxwell’s Eigenvalue Problem, submitted to Elsevier November 2004.
Listed in Author Index of Finite Element Books, Linkoping Institute of Technology, http://www.solid.ikp.liu.se/fe/auth.html

Paper [JP-2004-5]: Goal-Oriented hp-Adaptivity for Elliptic Problems

W. Cecot, W. Rachowicz, L. Demkowicz: An hp-adaptive finite element method for electromagnetics, Part 3, Int. J. Numer. Meth. Engng 2003; 57; DOI: 10.1002/nme.713.
L. Demkowicz: Fully Automatic hp-Adaptive Simulations for Maxwell's Equations, Book of Abstracts, International Workshop on Numerical and Symbolic Scientific Computing, June 16 - 21, St. Wolfgang, Austria.
D. Pardo, L. Demkowicz, C. Torres-Verdin, M. Paszynski: A Self-Adaptive Goal-Oriented hp Finite Element method with Electromagnetic Applications. Part II: Electrodynamics. CMAME, 2006.
D. Pardo, L. Demkowicz, C. Torres-Verdin, M. Paszynski: Simulation of Resistivity Logging-While-Drilling (LWD) Measurements Using a Self-Adaptive Goal-Oriented hp Finite Element Method. SIAM Journal on Applied Mathematics, submitted, 2005.
D. Pardo, L. Demkowicz, C. Torres-Verdin, L. Tabarovsky, A Goal Oriented HP-Adaptive Finite Element Strategy with Electromagnetic Applications. Part I: Electrostatics. "International Journal for Numerical Methods in Engineering, in press (available online), Dec 2004.
D. Pardo, C. Torres-Verdin, L. Demkowicz, Comparison of a Goal-Oriented hp-Adaptive Strategy vs. a Radial Code. Report, Nov 2005.
D. Pardo, C. Torres-Verdin, L. Demkowicz, Using a Goal-Oriented hp-Adaptive Strategy to Solve a DC Resistivity Logging Model Problem. Baker-Atlas Report, July 2004
D. Pardo, L. Demkowicz, Fully Automatic Goal-Oriented hp-Adaptivity for Elliptic Problems. Baker-Atlas Report, May 2004
D. Pardo, An hp-Adaptive Finite Element (FE) Method for Solving Electromagnetic (EM) Problems. Part I: Petroleum Engineering Applications. Baker-Atlas Report, 2003
M. Paszynski, L. Demkowicz, D. Pardo, Verification of Goal-Oriented hp-Adaptivity. "Computers and Mathematics with Applications, accepted, 2005
J. Pardo: Integration of hp-Adaptivity With a Two-Grid Solver: Applications to Electromagnetics, Dissertation Proposal, The University of Texas at Austin, 2002.
J.T. Oden, S. Prudhomme, L. Demkowicz: A Posteriori Error Estimation for Acoustic Wave Propagation Problems.

Paper [JP-2001-1]: On One Approach to A-Posteriori Error Estimates for Evolution Problems Solved by the Method of Lines

I. Babuska and S. Ohnimus: A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations, Computer Methods in Applied Mechanics and Engineering 190 (June 2001), No. 35-36, pp. 4691-4712.
J. de Frutos, J. Novo: A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations, Comput Methods Appl. Mech. Engrg. 191 (43): 4893-4904, 2002.
J. de Frutos, J. Novo: Element-wise a posteriori estimates based on hierarchical bases for non-linear parabolic problems, Int. J. Numer. Meth. Engng (in press).
O. Lakris, C. Makridakis: Elliptic Reconstruction and A-Posteriori Error Estimates for Fully Discrete Linear Parabolic..., A European Union Research and Training Network, online preprint.
C. Makridakis, R.H. Nochetto: Elliptic Reconstruction and A-Posteriori Error Estimates for Parabolic Problems, SIAM J. Numer. Anal., 2003.
P.K. Moore: Implicit Interpolation Error-Based Error Estimation Strategy in 2D, SMUM Report, Texas Southern Methodist University.
A Complete Bibliography of Publications in Numerische Mathematik, Nelson HF Beebe Center for Scientific Computing, math.utah.edu.

Paper [CP-2005-2]: P. Karban, I. Dolezel, P. Solin: Computation of General Nonstationary 2D Eddy Currents in Linear Moving Arrangements Using an Integro-Differential Approach

P. Karban: Solution of Nonstationary Eddy Current Problems by Integral Techniques. Report, University of West Bohemia, 2005.
P. Karban, J. Barglik: Techniques of Processing Solid and Liquid Metals Based on Electromagnetic Induction. Report, University of West Bohemia, 2005.

Paper [JP-SUBM-5]: On a Discrete Maximum Principle for hp-FEM, submitted

J. Karatson, S. Korotov, M. Krizek: On Discrete Maximum Principles for Nonlinear Elliptic Problems, submitted.

Paper [JP-2003-1]: Application of the Method of Lines to Unsteady Compressible Euler Equations

D.R. Fuhrman, H.B. Bingham, P.A. Madsen, P.G. Thomsen: Linear and nonlinear stability analysis for finite difference discretizations of high-order..., Int. J. Numer. Meth. Fluids 2004; 45: DOI: 10.1002/d.713.

Paper [JP-2000-3]: Induction Heating of Thin Slabs in Nonmagnetic Media

A Complete Bibliography of Lecture Notes in Computational Science and Engineering. Nelson HF Beebe Center for Scientific Computing, math.utah.edu.

Paper [JP-1998-1]: On the Construction of the Osher-Solomon Scheme for 3D Euler Equations

M. Feistauer: Analysis in compressible fluid mechanics, ZAMM 78 (9): 579-596, 1998.

Citations and References to Software

XGEN: 2D Unstructured Mesh Generator

S. Owen: A Survey of Unstructured Mesh Generation Technology, 7th International Meshing Roundtable, Sandia National Laboratories, 1998.
S. Owen: Meshing Research Corner/Meshing Software Survey, http://www.andrew.cmu.edu/user/sowen/softsurv.html.
R. Schneiders: Mesh Generation & Grid Generation on the Web, http://www-users.informatik.rwth-aachen.de/%7Eroberts/meshgeneration.html

EULER: Multi-Dimensional Finite Volume Solver for Compressible Flow

Free and Low-Cost CFD Software: Aerodynamics and Aerospace, http://capella.colorado.edu/~laney/softaero.htm
Roger Young and Ian MacPhedran: IFER, Internet Finite Element Resourses/Finite Volume Methods, http://www.engr.usask.ca/~macphed/finite/fe_resources/fe_resources.html

Master and Ph.D. theses based on my work

Martin Zitka: Adaptive Higher-Order Finite Element Methods for Elliptic Problems in 3D, Faculty of Mathematics and Physics, Dept. of Numerical Mathematics, Charles University, Prague, 2008. Advisor: Karel Segeth
Petr Kubasek: Computational Comparison of hp-Adaptive Methods, Faculty of Mathematics and Physics, Dept. of Numerical Mathematics, Charles University, Prague, 2008. Advisor: Tomas Vejchodsky
M. Zoubek: Adaptive Methods for the Numerical Solution of 3D Compressible Euler Equations, Master's Thesis, Faculty of Mathematics and Physics, Dept. of Numerical Mathematics, Charles University, Prague, 2001. Advisor: Jiri Felcman
D. K. Datta: Computer Analysis of Error Estimation in Finite Element Computations for Elliptic and Parabolic Problems, Ph.D. Thesis, Texas A&M University, College Station, Texas, August 2001.
D. Pardo: Integration of a Two-Grid Solver and Fully Automatic hp-Adaptivity, Ph.D. Thesis, ICEM, The University of Texas at Austin, Texas, 2003.
M. Zitka: Higher-Order Finite Element Method for Systems of Nonlinear Parabolic Differential Equations, Master's Thesis, Charles University, Faculty of Mathematics and Physics, Prague, 2003.
J. Rak: Analysis and Numerical Solution of a Second-Kind Fredholm Integral Operator Related to Induction Heating, Master's Thesis, Charles University, Faculty of Mathematics and Physics, Prague, 2003.
P. Tronner: Numerical Solution of Compressible Euler Equations by the Finite Volume Method of Lines, Master's Thesis, Czech Technical University, Faculty of Mechanical Engineering, Brno, 2003.
Hans Ginzel: Master's Thesis, Faculty of Mathematics and Physics, Dept. of Numerical Mathematics, Charles University, Prague, 2003.
J. Haskovec: Three-Dimensional Unstructured Parallel Grid Generator XGEN3D, Master's Thesis, Faculty of Mathematics and Physics, Charles University, Prague, 2003.