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35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (42 articles)

• Boulkhemair, Abdesslam; Nachaoui, Abdeljalil; Chakib, Abdelkrim: A shape optimization approach for a class of free boundary problems of Bernoulli type. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 205-221
• Mitrea, Marius; Nistor, Victor: Boundary value problems and layer potentials on manifolds with cylindrical ends. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1151-1197
• Fašková, Zuzana; Mikula, Karol; Čunderlík, Róbert; Janák, Juraj; Šprlák, Michal: Gravimetric quasigeoid in Slovakia by the finite element method. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 789-796
• Medková, Dagmar: The Neumann problem for the Laplace equation on general domains. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1107-1139
• Strouboulis, Theofanis; Hidajat, Realino: Partition of unity method for Helmholtz equation: $q$-convergence for plane-wave and wave-band local bases. (English). Applications of Mathematics, vol. 51 (2006), issue 2, pp. 181-204
• Medková, Dagmar: Boundedness of the solution of the third problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 317-340
• Criado, F.; Criado, F., Jr.; Odishelidze, N.: On the solution of some non-local problems. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 487-498
• Medková, Dagmar: Continuous extendibility of solutions of the Neumann problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 377-395
• Medková, Dagmar: Continuous extendibility of solutions of the third problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 669-688
• Vanselow, Reiner: About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. (English). Applications of Mathematics, vol. 46 (2001), issue 1, pp. 13-28
• Práger, Milan: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 231-239
• Amrouche, Cherif; Nečasová, Šárka: Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 265-274
• Feistauer, Miloslav; Najzar, Karel; Sobotíková, Veronika: On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains. (English). Applications of Mathematics, vol. 46 (2001), issue 5, pp. 353-382
• Ženíšek, Alexander; Hoderová-Zlámalová, Jana: Semiregular hermite tetrahedral finite elements. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 295-315
• Vitásek, Emil: Transfer of boundary conditions for difference equations. (English). Applications of Mathematics, vol. 45 (2000), issue 6, pp. 469-479
• Ženíšek, Alexander: Green's theorem from the viewpoint of applications. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 55-80
• Medková, Dagmar: Solution of the Dirichlet problem for the Laplace equation. (English). Applications of Mathematics, vol. 44 (1999), issue 2, pp. 143-168
• Medková, Dagmar: The boundary-value problems for Laplace equation and domains with nonsmooth boundary. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 173-181
• Práger, Milan: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 311-320
• Medková, Dagmar: Solution of the Neumann problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 763-784
• Medková, Dagmar: Solution of the Robin problem for the Laplace equation. (English). Applications of Mathematics, vol. 43 (1998), issue 2, pp. 133-155
• Ranošová, Jarmila: Sets of determination for solutions of the Helmholtz equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 309-328
• Medková, Dagmar: The third boundary value problem in potential theory for domains with a piecewise smooth boundary. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 651-679
• Taufer, Jiří; Vitásek, Emil: Transfer of boundary conditions for Poisson's equation on a circle. (English). Applications of Mathematics, vol. 39 (1994), issue 1, pp. 15-23
• Babuška, Ivo: On the $h$, $p$ and $h$ - $p$ version of the finite element method. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 5-18
• Kolář, Martin: Envelopes of holomorphy for solutions of the Laplace and Dirac equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 479-494
• Barnovská, Mária; Ilʹin, Vladimir Aleksandrovich: О порядке равносходимости почти всюду средних Рисса несамоопряженных расширений оператора Лапласа. (Russian) [On the order of almost everywhere equiconvergence of Riesz means of non- self-adjoint extensions of the Laplace operator]. Mathematica Slovaca, vol. 41 (1991), issue 2, pp. 205-222
• Medková, Dagmar: Invariance of the Fredholm radius of the Neumann operator. (English). Časopis pro pěstování matematiky, vol. 115 (1990), issue 2, pp. 147-164
• Bureš, J.; Souček, V.: The Penrose transform and Clifford analysis. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1991. pp. [97]-104
• Simader, Christian G.: The weak Dirichlet and Neumann problem for the Laplacian in $L^q$ for bounded and exterior domains. Applications. (English). In: Krbec, Miroslav, Kufner, Alois, Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Roudnice nad Labem, 1990. Vol. 4. B. G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 180-223
• Descloux, J.; Maillard, P.: An electromagnetic free-boundary problem. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 240-242
• Simader, C. G.: The Helmholtz decomposition and the weak Neumann problem in $L^q$. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 199-201
• Collatz, L.: Numerical calculations for some types of boundary value problems with unbounded domains. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 236-239
• Whiteman, John Robert: Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [345]-352
• Meister, E.: Some solved and unsolved canonical problems of diffraction theory. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [393]-398
• Křížek, Michal: Superconvergence results for linear triangular elements. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [315]-320
• Sarkisyan, Vladimir S.: On the method of the solution of elasticity theory problem for the inhomogeneous and anisotropic body. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 297-300
• Král, J.: Boundary behavior of potentials. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [205]-212
• Oleinik, O. A.: Energetic estimates analogous to the Saint-Venant principle and their applications. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [328]-339
• Kaufman, R.: A nonlinear operator in potential theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 4, pp. 731-735
• Rektorys, K.: On the method of least squares on the boundary. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 151-152
• Whiteman, J. R.; Barnhill, R. E.: Finite element methods for elliptic mixed boundary value problems containing singularities. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 261-267