Dr. Pavel Solin: Publications

Papers in conference proceedings

(Color code: in preparation. submitted, accepted/printed, I can provide any of the manuscripts in PostScript or PDF format.

J. Cerveny, I, Dolezel, L. Dubcova, P. Karban, P. Solin: Higher-Order Finite Element Modeling of Electromagnetically Driven Flow of Molten Metal in a Pipe. Proc. ICEMS 2009, Tokyo, Japan, November 2009, CD-ROM. Included in IEEExplore.
I. Dolezel, L. Dubcova, P. Karban, J. Cerveny, P. Solin: Inductively Heated Flow of Electromagnetically Conductive Liwuid in Pipe. Proc. COMPUMAG 2009, Florianopolis, Brasil, November 2009, CD ROM. Submitted to IEEE Trans. Mag.
P. Solin, O. Certik, S. Regmi: The FEMhub Project and Classroom Teaching of Numerical Methods. In online proceedings of the Scipy 2009 conference, Caltech, Pasadena, August 18 - 23, 2009. View PDF.
P. Solin, J. Kruis: Computing Transient Heat and Moisture Transfer in Concrete With Space-Time Adaptive hp-FEM. In: CD-ROM proceedings of ECCOMAS Conference COUPLED PROBLEMS 2009 (M. Papadrakakis, E. Onate, B. Schrefler Eds.), CIMNE, Barcelona, 2009. View PDF.
L. Dubcova, P. Solin, I. Dolezel: On Automatic Adaptivity for Electromagnetics Problems. In: Proceedings of ACOMEN 2008 (CD-ROM), University of Liege, Belgium, May 26 - 28, 2008.

P. Kus, P. Solin, M. Simko: Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Time-Harmonic Maxwell's Equations in 3D. In: Proceedings of ACOMEN 2008 (CD-ROM), University of Liege, Belgium, May 26 - 28, 2008.

T. Vejchodsky, P. Solin, Improving Conditioning of hp-FEM, in: SNA'07 Modelling and Simulation of Challenging Engineering Prolems, Institute of Geonics AS CR, Ostrava, 2007, pp. 126-129.

Kus, P., Solin, P., Dolezel, I.: On Adaptive hp-FEM with Arbitrary-Level Hanging Nodes in 3D. Proc. ENUMATH 2007, Graz, Austria, 2007 (CD-ROM).

T. Vejchodsky, P. Solin, Discrete Green's function and Maximum Principles, in: J. Chleboun, K. Segeth, T. Vejchodsky (Eds.), Programs and Algorithms of Numerical Mathematics 13, Mathematical Institute ASCR, Prague, 2006, pp. 247-252.

I. Dolezel, P. Karban, P. Solin, B. Ulrych: Integral Solution of Linear Eddy Current Problems with Motion. In: Proceedings of International Conference XCLEEE 2007, Madeira.

P. Karban, I. Dolezel, P. Solin, B. Ulrych: Integra Methods of Higher Order of Accuracy in Static or Low-Frequency Applications. In: Proceedings of International Conference ISTET 2007, Szczecin.

J. Barglik, I. DOlezel, P. Karban, L. Musil, O. SOlin, B. Ulrych: Electromagnetic Pumping of Liquid Metals: Selected Systems and their Numerical Modeling. In: Proceedings of International Conference Elektroenergetika 2007, September 19 - 21, 2007, Stara Lesna, Slovak Republic.

P. Solin, J. Cerveny, L. Dubcova, I. Dolezel: Multi-Mesh hp-FEM for Thermally Conductive Incompressible Flow. In: Proceedings of ECCOMAS Conference COUPLED PROBLEMS 2007 (M. Papadrakakis, E. Onate, B. Schrefler Eds.), CIMNE, Barcelona, pp. 677 - 680.

R. Muhanna, V. Kreinovich, P. Solin, J. Chessa: Interval Finite Element Methods: New Directions. In: Proceedings of Reliable Engineering Conference (REC 2006), Georgia Tech, Savannah, February 2006, pp. 229 - 245, 2006.

P. Solin, M. Zitka, I. Dolezel: On 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.

P. Karban, I. Dolezel, P. Solin: Integrodifferential Model of Eddy Currents in Axisymmetric Nonmagnetic Bodies Heated by Moving Inductor. In: Proceedings of International Conference on Research in Electrotechnology and Applied Informatics (ICREAI), August 31 - September 3, 2005, Katowice, Poland, 7 pages.

I. Dolezel, J. Barglik, P. Solin, P. Karban, B. Ulrych: Overview of Selected Numerical Methods for Computation of Electromagnetic and Other Physical Fields in Power Applications. In: Proceedings of International Conference on Research in Electrotechnology and Applied Informatics (ICREAI), August 31 - September 3, 2005, Katowice, Poland, 12 pages.

P. Solin, M. Zitka, K. Segeth: Singularities in Electro- and Magnetostatics and Their Efficient Resolution by hp-FEM. Proceedings of the Seminar of Applied Mathematics (Prague 2005), Czech Technical University, 2005, pp. 155 - 172.

P. Solin, K. Segeth, I. Dolezel: Numerical quadrature for higher-order finite element methods. Lecture Notes of IMAMM 03. (Proc. of the Industrial Mathematics and Mathematical Modelling, Roznov p. R. 2003.) Ostrava, VSB - Technical University of Ostrava 2005, pp. 121-130.

I Dolezel, P. Solin, L. Musil, B. Ulrych, P. Karban, J. Barglik: Techniques of Processing Solid and Liquid Metals Based on Electromagnetic Induction. In. Proceedings of SPETO 05, September 12 - 14, 2005, Pilsen, Czech Republic, pp. 1-12.

P. Solin, K. Segeth: Towards Optimal Shape Functions for Hierarchical Hermite Elements. In: Proceedings of the SANM conference, Srni, Czech Republic, 2005.

K. Segeth, P. Solin, I. Dolezel: Higher-order numerical quadrature in 2D and 3D. International Conference Presentation of Mathematics ICPM'04. (Proceedings of Conference, Liberec 2004.) Liberec, Technical University of Liberec 2005, pp. 203-210.

M. Zitka, P. Solin, K. Segeth: PARSYS_2D -- a higher-order FE solver for systems of nonlinear elliptic and parabolic equations. In: ECCOMAS 2004 CD ROM Vol. 2. (Proc. of Congress, Jyvaskyla 2004.) Jyvaskyla, University of Jyvaskyla 2004, 15 pp.

M. Zitka, P. Solin, K. Segeth: The hp-FEM Solver PARSYS_2D and Applications in Electrostatics, IGTE Conference, September 13 - 15, 2004, Graz, Austria, Publishing House Graz University of Technology, pp. 51 - 56.

P. Solin, K. Segeth: Three ways of interpolation on finite elements. Programs and Algorithm of Numerical Mathematics 12. (Proceedings of Seminar, Dolni Maxov 2004.) Prague, Mathematical Institute of the AS CR 2004, pp. 230-241.

I. Dolezel, P. Dvorak, P. Solin, B. Ulrych: Distribution of Electric Charge in a System of Charged Conductors of Finite Dimensions, CD-ROM Proceedings, International Electroenergetic Conference EPE2003, Ostrava, Czech Republic, January 2003, accepted.

K. Segeth, P. Solin: Application of the Method of Lines to Flow Problems, Proceedings of Workshop Simulation, Modelling and Numerical Analysis (SIMONA), Technical University of Liberec, 1 - 3 Sept. 2003, pp. 1 - 15.

K. Segeth, P. Solin, M. Zitka: Higher-order Methods of Lines and Error Estimates for 2D Nonlinear Parabolic Problems, Proceedings of Summer School SANM 2003, Hejnice, Czech Republic, pp. 109 - 117.

P. Solin, K. Segeth, I. Dolezel: Design of Scalar and Vector-Valued Hierarchic Finite Elements in 2D and 3D. In: CD-ROM Proceedings of ADMOS, Goteborg, Sept 29 - Oct 1, 2003. Barcelona, CIMNE 2003, 21 pp.

I. Dolezel, P. Solin, B. Ulrych: 3D integral model of eddy currents and losses in thin nonmagnetic space structures of general shape in nonmagnetic media, Computation in Electromagnetics, Bournemouth, 8.-11.4.2002, accepted.

I. Dolezel, P. Solin, B. Ulrych: Continual induction hardening of axisymmetric bodies, SPETO 2002, Gliwice/Ustron, Poland, May 2002, accepted.

I. Dolezel, P. Solin, B. Ulrych: Integral model of induction heating of thin non-magnetic structures in linear media, CEFC Perrugia, Perrugia, Italy, 16.-19.6.2002, accepted.

I. Dolezel, P. Solin, B. Ulrych: Mathematical and computer modelling of continual induction heating of axi-symmetric bodies, Non-Linear Circuits, Leuven, 1.-3.7.2002, accepted.

I. Dolezel, P. Solin, B. Ulrych, J. Haskovec: Integral Solution of Eddy Current Problems in Nonmagnetic Media, IGTE Graz, Austria, 16.-18.9. 2002, pp. 327 -- 330.

K. Segeth, P. Solin: Some Remarks on the Method of Lines Applied to Nonstationary Compressible Euler Equations. In: ACOMEN 2002 CD-ROM. (Proc. of Conference, Liege 2002.) Liege, Universite de Liege and Universiteit Ghent 2002, 10 pp.

P. Solin, I. Dolezel, J. Haskovec, B. Ulrych: Fieldless Modelling of the Induction Heating of 3D Non-Ferromagnetic Bodies, SCEE 2002, Eindhoven, The Netherlands, June 23 - 28, 2002, accepted.

P. Solin, K. Segeth: Adaptive Solution of Higher-Order Finite Element Discretized PDE's. In: Programs and Algorithms of Numerical Mathematics. (Proceedings of Summer School, Dolni Maxov 2002, invited plenary lecture), June 10 - 14, 2002, Plzen, University of West Bohemia 2002, pp. 232 - 248.

P. Kloucek, P. Solin: The Least Square Stabilization of Finite Element Approximation of Landau-Vlasov Equation, Proceedings of LACSI Conference, Santa Fe, October 2002, pp. 1 - 10.

P. Solin, I. Dolezel, M. Skopek, B. Ulrych: Stationary temperature field produced by external harmonic electromagnetic field in non-ferromagnetic thick metal slabs, SPETO 2001 International Conference, May 23-26 2001, Gliwice-Ustron, Poland, pp. 143 - 146.

P. Solin: Modelling of Orifice Flow in Complex Thermodynamic Cycle Simulations, Engineering Mechanics 2001, 14-17 May 2001, Svratka, Czech Republic, CD-ROM proceedings.

P. Solin, I. Dolezel, M. Skopek, B. Ulrych: Integral Mathematical Model of Induction Heating of Thick Nonmagnetic Plates, International Conference HIS 2001, 12 - 14 September 2001, Padua, Italy, ISBN 88-86281-64-1, pp. 182 - 190.

J. Barglik, I. Dolezel, P. Solin, B. Ulrych: High Frequency Induction Drying of Axi-Symmetric Metal Bodies, International Conference AMTEE 2001, 12 - 14 September 2001, Pilsen, Czech Republic, ISBN 80-7082-756-4, pp. A01 - A06.

I. Dolezel, P. Solin, B. Ulrych: Fieldless Methods for the Simulation of Stationary and Non-Stationary Induction Heating, EQUADIFF 10 CD ROM (Proc. of Conference, Praha, August 25 - 29, 2001), Masaryk University Publishing House Brno 2002, Czech Republic, pp. 143 - 157.

P. Solin, K. Segeth: Non-uniqueness of solution to quasi-1D compressible Euler equations. EQUADIFF 10 CD ROM (Proc. of Conference, Praha, August 25 - 29, 2001), Masaryk University Publishing House Brno 2002, pp. 379 - 389.

I. Dolezel, P. Solin, B. Ulrych: Fieldless Methods for the Simulation of Induction Heating of 3D Non-Ferromagnetic Metal Bodies, SANM 10 International Conference, September 3 - 7, 2001, Kvilda, Czech Republic, pp. 59 - 72.

K. Segeth, P. Solin, M. Kocirik: Some algorithmic aspects of higher-order finite element schemes in multidimensions. In: Software and Algorithms of Numerical Mathematics 14. (Proceedings of Summer School, Kvilda 2001, invited plenary lecture), September 3 - 7, 2001, Plzen, University of West Bohemia 2002, pp. 199 - 221.

P. Solin: Application of the Method of Lines to the Compressible Navier-Stokes Equations, Engineering Mechanics 2000, pp. 195 - 200, 15-18 May 2000, Svratka, Czech Republic.

P. Solin, K. Segeth: Application of the Method of Lines to Nonstationary Compressible Flows - Computational Aspects (Czech), PANM'2000, 12 - 16 July 2000, Libverda, Czech Republic, pp. 162 - 173.

P. Solin, W. Zulehner: On the Simulation of Compressible Jet Flow, Numerical Methods in Continuum Mechanics, July 31 - August 4, 2000, Prague, pp. 275 - 282.

I. Dolezel, M. Skopek, P. Solin, B. Ulrych: Distribution of Eddy Currents in a Thin Non-Ferromagnetic Plate Produced by Transversal Magnetic Field Excited by a 3D Inductor, SPETO 2000 International Conference, May 24 - 27, 2000, Gliwice - Ustron, Poland.

P. Solin, I. Dolezel, B. Ulrych: Induction Heating of Thin Slabs in Nonmagnetic Media, Lecture Notes in Computational Science and Engineering 18, Springer Verlag, ISBN 3-540-42173-4, 2000, pp. 379-388.

I. Dolezel, M. Skopek, P. Solin, B. Ulrych: Induction Heating of Thin Sheets in Transverse Harmonic Electromagnetic Field, International Conference IGTE 9, September 11 - 14, 2000, Graz, Austria, pp. 446 - 452.

I. Dolezel, M. Skopek, P. Solin, B. Ulrych: Integral Solution of Induction Heating of Thin Non-Ferromagnetic Plates of Finite Sizes, All Russia Scientific And Technical Conference, September 2000, Czeboksary, Russia, proceedings in progress.

I. Dolezel, P. Solin, M. Skopek, B. Ulrych: Mathematical Modelling of Induction Heating of Thin Nonmagnetic Slabs by Means of Fredholms Integral Equations, 4th International Japan-Central Europe Joint Workshop on Energy and Information in Nonlinear Systems (invited plenary lecture), 2000, Brno, Czech Republic.

P. Solin: Finite Volume Methods for Three-Dimensional Inviscid Compressible Flow, In: Proceedings of Workshop Actual Problems in Fluid Dynamics, Prague, February 19, 1997.

P. Solin: Computation of Riemann Invariants for Hyperbolic Systems, In: Proceedings of IMAMM Workshop, Cheb, June 30 - July 4, 1997.

P. Solin: Numerical Treatment of Dirichlet Boundary Conditions for Hyperbolic Problems, In: Proceedings of NMICM Conference, Prague, September 7 - 11, 1997.

P. Solin: Higher-Order Finite Element Methods for Viscous Compressible Flow, In: Proceedings of WDS Workshop, Prague, June 24 - 29, 1997.

P. Solin: Moving Particle Scheme for Triangular Grid Generation, In: Proceedings of Software and Algorithms of Numerical Mathematics, Nectiny, September 1999.

V.Dolejsi, M.Feistauer, J.Felcman, P. Solin: Numerics for Convection Dominated Flow, In: Proceedings of Software and Algorithms of Numerical Mathematics, Nectiny, September 1999.

M. Skopek, P. Solin, B. Ulrych: Mantling and Dismantling of Rivet Joints by Induction Generated Heating, In Proceedings of MARC Users Conference, Stirin, May 1999, ISBN 80-238-4292-7, pp. 82 - 91.

J.Felcman, P. Solin: Efficient Computation of Inviscid Stationary Flow, In: Proceedings of Colloquium of Fluid Dynamics'99, Prague, October 1999.

Posters

P. Solin: Construction and Implementation of Finite Volume Solvers for 3D Euler Equations, Czech - U.S. Workshop on Iterative Methods and Parallel Computing, Milovy, May 16 - 21, 1997.
P. Solin: Semi-Implicit Discretization of 3D Euler Equations by the Finite Volume Method, International School on Theory and Numerics for Conservation Laws, Freiburg, October 20 - 24, 1997.
P. Solin: Unique Solvability and Precise Numerical Solution of Semi-Discretized Euler Equations, AMIF - ESF International Conference, San Feliu de Guixols, Spain, October 1 - 3, 1998.
P. Solin: Mesh generation Tool XGEN based on an electromagnetic analogy, Engineering Mechanics 2001, 14-17 May 2001, Svratka, Czech Republic.
I. Dolezel, P. Solin, B. Ulrych: Fieldless Method for the Simulation of Induction Heating, EQUADIFF 10, held 27 - 31 August 2001 in Prague, Czech Republic.