• DML-CZ Home

35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (66 articles)

• Yuan, Hongfen: On representations of real analytic functions by monogenic functions. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 997-1013
• Gao, Peng; Dong, Heping; Ma, Fuming: Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 149-165
• Zhang, Shougui; Li, Xiaolin: Boundary augmented Lagrangian method for the Signorini problem. (English). Applications of Mathematics, vol. 61 (2016), issue 2, pp. 215-231
• Filinovskiy, Alexey: On the eigenvalues of a Robin problem with a large parameter. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 341-352
• Krejčiřík, David: Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 185-193
• Schmidt, Gunther: Conical diffraction by multilayer gratings: A recursive integral equation approach. (English). Applications of Mathematics, vol. 58 (2013), issue 3, pp. 279-307
• 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
• Vanselow, Reiner: New results concerning the DWR method for some nonconforming FEM. (English). Applications of Mathematics, vol. 57 (2012), issue 6, pp. 551-568
• Čertíková, Marta; Burda, Pavel; Šístek, Jakub: Numerical comparison of different choices of interface weights in the BDDC method. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 55-61
• Pošta, Petr: Note on the stability of the Dirichlet problem and the Poisson equation. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 51 (2010), issue 2, pp. 69-79
• Lin, Runchang; Zhang, Zhimin: Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 251-266
• Vejchodský, Tomáš: Aposteriorní odhady chyby v metodě konečných prvků. (Czech) [Aposteriori error estimate in the finite element method]. Pokroky matematiky, fyziky a astronomie, vol. 53 (2008), issue 2, pp. 104-112
• 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
• Douglas, Jim; Hensley, Jeffrey L.; Roberts, Jean E.: An alternating-direction iteration method for Helmholtz problems. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 289-300
• Křížek, Michal: On approximation of the Neumann problem by the penalty method. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 459-469
• 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
• Haslinger, Jaroslav; Neittaanmäki, P.; Salmenjoki, K.: On FE-grid relocation in solving unilateral boundary value problems by FEM. (English). Applications of Mathematics, vol. 37 (1992), issue 2, pp. 105-122
• 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
• Tran, Van Bon: Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary. (English). Aplikace matematiky, vol. 33 (1988), issue 1, pp. 1-21
• Drápalík, Vladimír; Janovský, Vladimír: Numerical treatment of 3-dimensional potential problem. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 456-469
• Drápalík, Vladimír; Janovský, Vladimír: On a potential problem with incident wave as a field source. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 443-455
• Fabrikant, Valery I.: Exact solutions to some external mixed problems in potential theory. (English). Aplikace matematiky, vol. 31 (1986), issue 3, pp. 224-246
• 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
• Práger, Milan: The method of fictitious right-hand sides. (English). Aplikace matematiky, vol. 29 (1984), issue 5, pp. 384-389
• Červ, Václav; Segeth, Karel: A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 375-390
• 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
• Kačur, Jozef: On the solution of a generalized system of von Kármán equations. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 437-448
• Hlaváček, Ivan: Convergence of dual finite element approximations for unilateral boundary value problems. (English). Aplikace matematiky, vol. 25 (1980), issue 5, pp. 375-386
• Sibony, Moïse: Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires. (French) [On an iterative method to solve nonlinear elliptic problems]. Aplikace matematiky, vol. 22 (1977), issue 4, pp. 291-300
• 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
• Rektorys, Karel; Zahradník, Václav: Solution of the first biharmonic problem by the method of least squares on the boundary. (English). Aplikace matematiky, vol. 19 (1974), issue 2, pp. 101-131
• 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