Incompressible flow past a rectangular obstacle solved via adaptive hp-FEM.

Monographs Talks Posters

Journal Papers

2009

• L. Dubcova, P. Solin, J. Cerveny, P. Kus: Space and Time Adaptive Two-Mesh hp-FEM for Transient Microwave Heating Problems, Electromagnetics, accepted March 2009, in press, manuscript here. Impact factor: 0.688.
• P. Solin, D. Andrs: On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM, Advances in Applied Mathematics and Mechanics, Vol. 1, No. 1, pp. 56 - 68 (2009). manuscript here. No impact factor (new journal).
• P. Solin, L. Dubcova, J. Cerveny, I. Dolezel: Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations, Math. Comput. Simul., accepted April 2009, manuscript here. Impact factor: 0.738.
• P. Solin, J. Cerveny, L. Dubcova, D. Andrs: Monolithic Discretization of Linear\ Thermoelasticity Problems via Adaptive Multimesh hp-FEM, J. Comput. Appl. Math, accepted March 2009, in press, manuscript here. Impact factor: 0.943.
• T. Vejchodsky, P. Solin: Discrete Maximum Principle for the Poisson Equation with Mixed Boundary Conditions Solved by the hp-FEM, Advances in Applied Mathematics and Mechanics, accepted February 2009, in press, manuscript here. No impact factor (new journal).

2008

• P. Solin, J. Cerveny, I. Dolezel: Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM, Math. Comput. Simul. 77 (2008), 117 - 132, doi:10.1016/j.matcom.2007.02.011. Impact factor: 0.738.

2007

• P. Solin, K. Segeth: Hierarchic Higher-Order Hermite Elements on Hybrid Triangular/Quadrilateral Meshes, Math. Comput. Sim. (76) 2007, pp. 198 - 204, doi:10.1016/j.matcom.2007.01.017. Impact factor: 0.738.
• P. Solin, T. Vejchodsky: On a Weak Discrete Maximum Principle for hp-FEM, JCAM 209 (2007) 54-65. Impact factor: 0.943.
• P. Solin, T. Vejchodsky, R. Araiza: Discrete Conservation of Nonnegativity for Elliptic Problems Solved by the hp-FEM, Math. Comput. Simul. 76 (2007) 205 - 210, doi:10.1016/j.matcom.2007.01.015. Impact factor: 0.738.
• P. Solin, J. Avila: Equidistributed Error Mesh for Exponential Boundary layers, JCAM, Vol 218/1, pp 157-166, 2008, doi:10.1016/j.cam.2007.04.048. Impact factor: 0.943.
• P. Solin, T. Vejchodsky: Higher-Order Finite Elements Based on Generalized Eigenfunctions of the Laplacian, Int. J. Numer. Methods Engrg., Vol. 73, issue 10, pp. 1374 - 1394, doi:10.1002/nme.2129. Impact factor: 1.612.
• P. Solin, J. Cerveny, L. Dubcova, I. Dolezel: Multi-Mesh hp-FEM for T hermally Conductive Incompressible Flow. In: Proceedings of ECCOMAS Conference COUPLED PROBLEMS 2007 (M. Papadrakakis, E. Onate, B. Schrefler Eds.), CIMNE, Barcelona, pp. 677 - 680.
• T. Vejchodsky, P. Solin: Discrete Maximum Principle for Higher-Order Finite Elements in 1D, Math. Comput. 76 (2007), 1833 - 1846. Impact factor: 1.23.
• T. Vejchodsky, P. Solin: Static Condensation, Partial Orthogonalization of Bass Functions, and ILY Preconditioning in the hp-FEM, JCAM, Vol 218/1, pp. 192-200, 2008, doi:10.1016/j.cam.2007.04.044. Impact factor: 0.943.
• M. Zitka, P. Solin, T. Vejchodsky, F. Avila: Imposing Orthogonality to Hierarchic Higher-Order Finite Elements, Math. Comput. Simul. 76 (2007) 211 - 217, doi:10.1016/j.matcom.2007.01.025. Impact factor: 0.738.
• T. Vejchodsky, P. Solin, M. Zitka: Modular hp-FEM System HERMES and Its Application to the Maxwell's Equations, Math. Comput. Simul. 76 (2007) 223 - 228. Impact factor: 0.738.
• T. Vejchodsky, P. Solin: Discrete Maximum Principle for a Problem with Piecewise-Constant Coefficients Solved by hp-FEM, J. Numer. Math. 15 (2007), pp. 233 - 243, doi: 10.1515/jnma.2007.011.
• T. Vejchodsky, P. Solin: Discrete Maximum Principle for Higher-Order Finite Elements in 1D, Math. Comput. 76 (2007), 1833 - 1846. Impact factor: 1.23.

2006

• P. Karban, I. Dolezel, P. Solin: Integrodifferential Model of Eddy Currents in Axisymmetric Nonmagnetic Bodies Heated by Moving Inductor, Archives for Electrical Engineering 54, No. 4, 2006, pp. 197 - 207.
• P. Solin, T. Vejchodsky, M. Zitka: Orthogonal hp-FEM for Elliptic Problems Based on a Non-Affine Concept. In: Numerical Mathematics and Advanced Applications (Proceedings of ENUMATH 2005; A. Bermudez, D. Gomez, P. Quintela, P. Salgado Eds.), Springer, 2006, pp. 683 - 690.
• T. Vejchodsky, P. Solin, M. Zitka: On Some Aspects of the hp-FEM for Time-Harmonic Maxwell's Equations. In: Numerical Mathematics and Advanced Applications (Proceedings of ENUMATH 2005; A. Bermudez, D. Gomez, P. Quintela, P. Salgado Eds.), Springer, 2006, pp. 691 - 699.
• P. Karban, I. Dolezel, P. Solin: Computation of General Nonstationary 2D Eddy Currents in Linear Moving Arrangements Using an Integro-Differential Approach, COMPEL 25, No. 3, 2006, pp. 635 - 641.
• R. Muhanna, V. Kreinovich, P. Solin, J. Chessa: Interval Finite Element Methods: New Directions (PDF). In: Proceedings of Reliable Engineering Conference (REC 2006), Georgia Tech, Savannah, February 2006, pp. 229 - 245.

2005

• I. Dolezel, P. Solin, M. Zitka, B. Ulrych: On Electromagnetic Stirring of Molten Metals, Acta Technica CSAV, 48, 2005, pp. 1 - 18 (manuscript in PDF)
• P. Solin, K. Segeth: A New Sequence of Hierarchic Prismatic Elements Satisfying the De Rham Diagram on Hybrid Meshes, J. Numer. Math. 13 (2005), No. 4, pp. 295-318. (manuscript in PDF)
• P. Solin, K. Segeth: Towards Optimal Shape Functions for Hierarchical Hermite Elements. In: Proceedings of the SANM conference, Srni, Czech Republic, 2005 (manuscript in PDF)
• P. Solin, M. Zitka, K. Segeth: Singularities in Electro- and Magnetostatics and Their Efficient Resolution by hp-FEM, Seminar on the Occasion of the 100th Birth Anniversary of Prof. Vycichlo, Czech Technical University, Prague, 26 - 27 April, 2005, 20 pages (manuscript in PDF)
• P. Solin, M. Zitka, I. Dolezel: On a hp-Finite Element Method for Singular Electro- and Magnetostatic Problems, In: Proceedings of ISEF, 15 - 17 September 2005, Baiona, Spain, ISBN 84-609-7057-4, 6 pages (manuscript in PDF).