Pavel Solin: Publications

Books
Conference papers
Technical papers
Theses
Invited talks
Refereed journal papers

Color code: in preparation, submitted, accepted/printed.

V. Dolejsi, M. Kuraz, P. Solin: Adaptive Higher-Order Space-Time Discontinuous Galerkin Method for the Computer Simulation of Variably-Saturated Porous Media Flows. Submitted to Applied Mathematical Modeling, 2018.
P. Solin, E. Roanes-Lozano: Using Computer Programming as an Effective Complement to Math Education. Submitted to IJTME, 2018.
E. Roanes-Lozano, P. Solin: Revisiting Elementary Arithmetic Through the Development of Iterative Sentences. Submitted to IJTME, 2018.
P. Solin: Bringing More STEAM to Mathematics Education. The International Journal for Technology in Mathematics Education (IJTME), 24(4), 191-198. 2017.
P. Lukas, P. Solin, P. Knobloch: On Error Indicators for Optimizing Parameters in Stabilized Methods. ACOM, accepted, 2018, DOI 10.1007/s10444-019-09662-4.
V. Dolejsi, P. Solin: hp-discontinuous Galerkin method based on local higher order reconstruction, Applied Mathematics and Computation (2016), pp. 219-235.
P. Kus, P. Solin, D. Andrs: Arbitrary-Level Hanging Nodes for Adaptive hp-FEM Approximations in 3D. Journal CAM, volume 270, pages 121-133, 2014.
P. Solin, L. Korous, P. Kus: Hermes2D, a C++ Library for Rapid Development of Adaptive hp-FEM and hp-DG Solvers. Journal CAM, volume 270, pages 152-165, 2014.
D. Pugal, P. Solin, A. Abloo, J.K. Kim: hp-FEM electromechanical transduction model of ionic polymer-metal composites, Journal CAM, volume 260, pages 135-148, 2014.
D. Pugal, P. Solin, A. Abloo, J.K. Kim: IPMC mechanoelectrical transduction: its scalability and optimization, Smart Materials and Structures, Vol. 22, 125 - 132, 2013, doi:10.1088/0964-1726/22/12/125029.
P. Solin, S. Giani: An Iterative Adaptive hp-FEM Method for Nonsymmetric Eigenvalue Problems. Computing, Volume 95, Issue 1 Supplement, pp 183 - 213, 2013.
P. Solin, L. Korous: Space-Time Adaptive hp-FEM for Problems with Traveling Sharp Fronts. Computing, Volume 95, Issue 1 Supplement, pp 709 - 722, 2013.
L. Korous, P. Solin: An Adaptive hp-DG method with Dynamically-Changing Meshes for Non-Stationary Compressible Euler Equations. Computing, Volume 95, Issue 1 Supplement, pp 425-444, 2013.
J. Chleboun, P. Solin: On Optimal Node and Degree Distribution in One-Dimensional hp-FEM. Computing, Volume 95, Issue 1 Supplement, pp 75-88, 2013.
P. Solin, S. Giani: An Iterative Finite Element Method for Elliptic Eigenvalue Problems, Journal of Computational and Applied Mathematics, Vol. 236, No. 18. (December 2012), pp. 4582-4599. manuscript here. Impact factor: 1.112
P. Solin, L. Korous: Adaptive Higher-Order Finite Element Methods for Transient PDE Problems Based on Embedded Higher-Order Implicit Runge-Kutta Methods. Journal of Computational Physics, Volume 231, Issue 4, 20 February 2012, pp. 1635-1649. manuscript here. Impact factor: 2.345
D. Pugal, P. Solin, K.J. Kim, A. Aabloo: Modeling Ionic Polymer-Metal Composites with Space-Time Adaptive Multimesh hp-FEM, Commun. Comput. Phys., 11 (2012), pp. 249-270. manuscript here. Impact factor: 2.33
P. Solin, O. Certik, L. Korous: Three Anisotropic Benchmarks for Adaptive Finite Element Methods, Appl. Math. Comput., available online, DOI: doi:10.1016/j.amc.2010.12.08, manuscript here. Impact factor: 1.124
P. Solin, M. Kuraz: Solving the Nonstationary Richards Equation with Adaptive hp-FEM, Advanced Water Resources, Vol. 34, Issue 9, 2011, pp. 1062-1081. Impact factor: 2.354
L. Dubcova, P. Solin, G. Hansen, H. Park: Comparison of Multimesh hp-FEM to Interpolation and Projection Methods for Spatial Coupling of Reactor Thermal and Neutron Diffusion Calculations, J. Comput. Phys. 230 (2011) 1182-1197, manuscript here. Impact factor: 2.28
I. Dolezel, P. Karban, M. Donatova, P. Solin: Integrodifferential Approach to Solution of Eddy Currents in Linear Structures with Motion. Math. Comput. Simul. 80 (2010) 1636-1646. Impact factor: 0.930
I. Dolezel, L. Dubcova, P. Karban, J. Cerveny, P. Solin: Inductively Heated Incompressible Flow of Electrically Conductive Liquid in Pipe, IEEE Transactions on Magnetics 46 (2010), manuscript here. Impact factor: 0.959
P. Solin, L. Dubcova, J. Cerveny, I. Dolezel: Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations, Advances in Applied Mathematics and Mechanics, Vol. 2, No. 4, 2010, pp. 518 - 532. manuscript here.
P. Solin, L. Dubcova, J. Kruis: Adaptive hp-FEM with Dynamical Meshes for Transient Heat and Moisture Transfer Problems, J. Comput. Appl. Math. 233 (2010) 3103-3112. doi 10.1016/j.cam.2009.07.025. Impact factor: 1.048
P. Solin, D. Andrs, J. Cerveny, M. Simko: PDE-Independent Adaptive hp-FEM Based on Hierarchic Extension of Finite Element Spaces, J. Comput. Appl. Math. 233 (2010) 3086-3094. doi 10.1016/j.cam.2009.05.030. Impact factor: 1.048
L. Dubcova, P. Solin, J. Cerveny, P. Kus: Space and Time Adaptive Two-Mesh hp-FEM for Transient Microwave Heating Problems, Electromagnetics, Vol. 30, Issue 1, pp. 23 - 40, 2010. doi:10.1080/02726340903485257. Impact factor: 0.688
P. Solin, J. Cerveny, L. Dubcova, D. Andrs: Monolithic Discretization of Linear Thermoelasticity Problems via Adaptive Multimesh hp-FEM, J. Comput. Appl. Math 234 (2010) 2350 - 2357. http://dx.doi.org/10.1016/j.cam.2009.08.092. Impact factor: 1.048
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, Vol. 1, No. 2, pp. 201 - 214 (2009). manuscript here.
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.
P. Kus, P. Solin, I. Dolezel: Solution of 3D singular electrostatics problems using adaptive hp-FEM, COMPEL, Vol. 27, Issue 4, pp. 939 - 945 (2008) Impact factor: 0.226
T. Vejchodsky, P. Solin: Static Condensation, Orthogonalization of Bubble Functions, and ILU Preconditioning in the hp-FEM, J. Comput. Appl. Math., Vol 218/1, pp. 192-200, 2008, see doi:10.1016/j.cam.2007.04.044. Impact factor: 1.048
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 doi:10.1016/j.matcom.2007.02.011. Impact factor: 0.930
P. Solin, J. Avila: Equidistributed Error Mesh for Problems with Exponential Boundary Layers, J. Comput. Appl. Math., Vol 218/1, pp 157-166, 2008, see doi:10.1016/j.cam.2007.04.048. Impact factor: 1.048
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.
T. Vejchodsky, P. Solin: Discrete Maximum Principle for Higher-Order Finite Elements in 1D, Math. Comput. 76 (2007), 1833 - 1846. Impact factor: 1.23
P. Solin, T. Vejchodsky: A Weak Discrete Maximum Principle for hp-FEM, J. Comput. Appl. Math. 209 (2007) 54-65, full text here. Impact factor: 1.048
M. Zitka, P. Solin, T. Vejchodsky, F. Avila: Imposing Orthogonality to Hierarchic Higher-Order Finite Elements, Math. Comput. Simul. 76 (2007) 211 - 217, full text here. Impact factor: 0.930
P. Solin, K. Segeth: Hierarchic Higher-Order Hermite Elements on Hybrid Triangular/Quadrilateral Meshes, Math. Comput. Simul. (76) 2007, pp. 198 - 204, full text here. Impact factor: 0.930
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, full text here. Impact factor: 0.930
P. Solin, T. Vejchodsky: Higher-Order Finite Elements Based on Generalized Eigenfunctions of the Laplacian, Int. J. Numer. Methods Engrg 73 (2007), 1374 - 1394. Impact factor: 1.497
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.
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, full text here. Impact factor: 0.930
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. Impact factor: 0.154
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.
I. Dolezel, P. Solin, M. Zitka, B. Ulrych: On Electromagnetic Stirring of Molten Metals, Acta Technica CSAV, 48, 2005, pp. 1 - 18.
P. Solin, L. Demkowicz: Goal-Oriented hp-Adaptivity for Elliptic Problems, Comput. Methods Appl. Mech. Engrg. 193 (2004), 449 - 468, full text here. Impact factor: 2.015
P. Solin, I. Dolezel, B. Ulrych: Induction Heating of 3D Non-Ferromagnetic Metal Bodies by Moving Inductors, Scientific Computing in Electrical Engineering, Series Mathematics in Industry No. 4, Springer Verlag, pp. 373-381, 2004.
P. Solin, K. Segeth: Non-Uniqueness of Almost-Unidirectionel Inviscid Compressible Flow, Appl. Math. 49, pp. 247 - 268, 2004.
J. Haskovec, P. Solin: On a Novel Technique for Parallel Unstructured Mesh Generation in 3D, Numerical Mathematics and Advanced Applications 5, Berlin, Springer 2004, 420 - 429.
P. Solin, L. Demkowicz: Automatic Goal-Oriented hp-Adaptivity Without Error Estimates, Numerical Mathematics and Advanced Applications 5, Berlin, Springer 2004, 775 - 785.
M. Zitka, K. Segeth, P. Solin: Higher-order FEM for Systems of Nonlinear Parabolic PDEs with A-Posteriori Error Estimates. Numerical Mathematics and Advanced Applications 5, Berlin, Springer 2004, 854 - 863.
P. Solin, K. Segeth: Application of the Method of Lines to Unsteady Compressible Euler Equations, Int. J. Numer. Methods Fluids 41 (2003), No. 5, pp. 519 - 535. Impact factor: 0.87
P. Solin, K. Segeth: Examples of Non-Uniqueness of Almost-Unidirectionel Gas Flow, Math. Comput. Simul. 61 (3-6), pp. 229 - 237, 2003. Impact factor: 0.930
I. Dolezel, P. Solin, B. Ulrych: On a Fieldless Method for the Computation of Induction-Generated Heat in Three-Dimensional Non-Ferromagnetic Bodies, Math. Comput. Simul. 61 (3-6), pp. 239 - 247, 2003. Impact factor: 0.930
I. Dolezel, P. Kloucek, P. Solin, B. Ulrych: Distribution of Electrical Charge in Systems of Finite Conductors, Acta Technica ASCR 48 (2003), No. 1, pp. 1 - 13.
P. Solin: On the Solution of Axisymmetric Point-Source Problems Using Fourier Transformation and FFT Routines, Acta Technica ASCR 48 (2003), pp. 227 - 238..
P. Solin, K. Segeth: Performance of Various ODE Solvers on FV-Semidiscretized Nonstationary Euler Equations. Acta Technica ASCR 47 (2002), No. 1, pp. 47 - 66.
I. Babuska, M. Feistauer, P. Solin: On One Approach to A Posteriori Error Estimates for Evolution Problems Solved by the Method of Lines, Numer. Math. 89 (2001), pp. 225 - 256. Impact factor: 1.116
P. Solin, K. Segeth: Description of the Multi-Dimensional Finite Volume Solver EULER, Appl. Math. 47 (2002), 169 - 185.
J. Barglik, I. Dolezel, P. Solin, B. Ulrych: 3D Analysis of Coupled Quasi-Stationary Electromagnetic and Non-Stationary Temperature Fields in Non-Magnetic Inductively Heated Charge, Zeszyty Naukowe Politechniki Lodzskiej - Elektryka, University of Lodz, Poland, No. 885 (2001), pp. 9 - 16
J. Felcman, P. Solin: On the construction of the Osher-Solomon scheme for 3D Euler Equations, East-West J. Num. Math. (1998), pp. 43 - 64.
P. Solin: On a Model of Polluted Gas Flow, Acta Technica ASCR 45 (2000), No. 1, pp. 1 - 20.
I. Dolezel, M. Skopek, P. Solin, B. Ulrych: Stationary Temperature Field in a Non-Magnetic Thin Plate Heated by Transversal Harmonic Electromagnetic Field, Acta Technica ASCR 45 (2000), No. 2, pp. 109 - 128.
P. Solin, I. Dolezel, M. Skopek, B. Ulrych: Induction Heating of Thin Slabs in Nonmagnetic Media, Lecture Notes Comput. Sci. Engrg. 18, Springer Verlag, ISBN 3-540-42173-4, pp. 379-388.
P. Solin: On a Mesh Generation Technique Based on a Special Smoothing Procedure for Uniform Inner Point Distribution, Acta Technica ASCR 45 (2000), No. 4, pp. 397 - 417.