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Research Output 1986 2020

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2018

A spectral shift function for Schrödinger operators with singular interactions

Behrndt, J., Gesztesy, F. & Nakamura, S., 2018, The diversity and beauty of applied operator theory.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Finite rank perturbations in Pontryagin spaces and a Sturm-Liouville problem with λ-rational boundary conditions

Behrndt, J. & Philipp, F., 2018, Indefinite inner product spaces, Schur analysis, and differential equations.

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Sensitivity-Based Topology and Shape Optimization with Application to Electric Motors

Gangl, P., 2018, Frontiers in PDE-Constrained Optimization. Springer New York, Vol. 163. p. 317-340 24 p. (The IMA Volumes in Mathematics and its Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

2017

Convergence analysis of a Galerkin boundary element method for electromagnetic eigenvalue problems

Unger, G., 2017, Berichte aus dem Institut für Angewandte Mathematik.

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Recent development of robust monolithic fluid-structure interaction solvers

Langer, U. & Yang, H., 2017, Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers. Frei, S., Holm, B., Richter, T., Wick, T. & Yang, H. (eds.). Berlin: deGruyter, p. 169-192 (Radon Series on Computational and Applied Mathematics; vol. 20).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

2015

An eigenvalue inequality for Schrödinger operators with delta and delta'-interactions supported on hypersurfaces

Rohleder, J. & Lotoreichik, V., 2015, Operator Algebras and Mathematical Physics. 1 ed. Basel: Springer Basel AG, Vol. 247. p. 173-184 (Operator Theory: Advances and Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2013

Boundary integral equations for Helmholtz boundary value and transmission problems

Steinbach, O., 2013, Direct and inverse problems in wave propagation and applications. 1 ed. Berlin: deGruyter, Vol. 14. p. 253-292 (Radon Series on Computational and Applied Mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2012

Complex versus real analysis

Tutschke, W., 2012, Interactions between real and complex analysis. 1 ed. Hanoi: Science and Technics Publishing House, p. 414-454

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Convergence orders of iterative methods for nonlinear eigenvalue problems

Unger, G., 2012, Advanced Finite Element Methods and Applications. New York: Springer, Vol. 66. p. 217-238 (Lecture Notes of Applied and Computational Mechanics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

Behrndt, J. & Langer, M., 2012, Operator Methods for Boundary Value Problems. 1 ed. Cambridge: ., Vol. 404. p. 121-160 (London Mathematical Society Lecture Note Series).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Fast Boundary Element Methods for Industrial Applications in Magnetostatics

Andjelic, Z., Of, G., Steinbach, O. & Urthaler, P., 2012, Fast Boundary Element Methods in Engineering and Industrial Applications. 1 ed. Berlin Heidelberg: Springer, Vol. 63. p. 111-143 (Lecture Notes in Applied and Computational Mechanics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2010

A new concept of separately holomorphic and separately monogenic functions

Tutschke, W. & Le, H. S., 2010, Algebraic structures in partial differential equations related to complex and Clifford analysis. 1 ed. Ho Chi Minh City: Ho Chi Minh City University of Education Press, p. 67-78

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Reduction of boundary value problems to fixed-point problems using real and complex fundamental solutions

Tutschke, W., 2010, Algebraic structures in partial differential equations related to complex and Clifford analysis. 1 ed. ., p. 85-105

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Some comments on associated operators for potential vector fields

Tutschke, W. & Le, H. S., 2010, Algebraic structures in partial differential equations related to complex and Clifford analysis. 1 ed. Ho Chi Minh City: Ho Chi Minh City University of Education Press, p. 79-83

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

The meaning of algebraic structures for the investigation of partial differential equations

Tutschke, W. & Le, H. S., 2010, Algebraic structures in partial differential equations related to complex and Clifford analysis. 1 ed. Ho Chi Minh City: Ho Chi Minh City University of Education Press, p. 1-8

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2009

Finite rank perturbations, scattering matrices and inverse problems

Behrndt, J., 2009, Oper. Theory Adv. Appl. 198. 1 ed. ., p. 61-85

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2008

Associated spaces - A new tool of real and complex analysis

Tutschke, W., 2008, Function Spaces in Complex and Clifford Analysis. 1 ed. Hanoi: National University Publishers Hanoi, p. 253-268

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Clifford Algebras Depending on Parameters and Their Applications to Partial Differential Equations

Tutschke, W. & Vanegas, C. J., 2008, Some Topics on Value Distribution and Differentiability in Complex and P-adic Analysis. 1 ed. Beijing: Science Press, Vol. 11. p. 430-450 (Mathematics Monograph Series).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

On domains of powers of linear operators and finite rank perturbations

Behrndt, J., Azizov, T., Philipp, F. & Trunk, C., 2008, Spectral theory in inner product spaces and applications. 1 ed. Basel: Springer, p. 31-37 (Operator Theory Advances and Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Trace formulae for dissipative and coupled scattering systems

Behrndt, J., Malamud, M. & Neidhardt, H., 2008, Spectral theory in inner product spaces and applications. 1 ed. Basel: Springer, p. 49-87 (Operator Theory Advances and Applications 188).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2007

Block operator matrices, optical potentials, trace clsass perturbations and scattering

Behrndt, J., Neidhardt, H. & Rehberg, J., 2007, Operator theory in inner product spaces. 1 ed. Basel: Springer, p. 33-49 (Operator Theory Advances and Applications 175).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Coupled Finite and Boundary Element Domain Decomposition Methods

Steinbach, O. & Langer, U., 2007, Boundary Element Analysis. Mathematical Aspects and Applications. 1 ed. Heidelberg: Springer, Vol. 29. p. 61-95 (Lecture Notes in Applied and Computational Mechanics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Fast multipole methods and applications

Of, G., 2007, Boundary Element Analysis. Mathematical Aspects and Applications. 1 ed. Springer, Vol. 29. p. 135-160 (Lecture Notes in Applied and Computational Mechanics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Generalized resolvents of a class of symmetric operators in Krein spaces

Behrndt, J., Luger, A. & Trunk, C., 2007, Operator theory in inner product spaces. 1 ed. Basel: Springer, p. 13-32 (Operator Theory Advances and Applications 175).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

In memoriam Peter Jonas (1941 - 2007)

Behrndt, J., 2007, Oper. Theory Adv. Appl. 198. 1 ed. ., p. ix-xi

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2006

A class of abstract boundary value problems with locally definitizable functions in the boundary condition

Behrndt, J., 2006, Operator theory and indefinite inner product spaces. 1 ed. Basel: Springer, p. 55-73

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Complex analysis within the framework of analytical methods for partial differential equations

Tutschke, W., 2006, Methods of Complex and Clifford Analysis. 1 ed. Delhi 110092: SAS International Publications, p. 123-140

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2004

Associated partial differential operators - applications to well- and ill-posed problems

Tutschke, W., 2004, Abstract and Applied Abalysis. Nirenberg, L., Chuong, N. M. & Tutschke, W. (eds.). 1 ed. ., p. 373-383

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Generalized analytic functions and their contributions to the development of mathematical analysis

Tutschke, W., 2004, Finite and Infinite Dimensional Complex Analysis and Applications. Le Son, H., Tutschke, W. & Yang, Z. (eds.). 1 ed. Boston / Dordrecht / London: Kluwer Academic Publishers, Vol. 2. p. 101-114 (Advances in Complex Analysis and Its Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2003

Computational models of arterial flow and mass transport

Perktold, K. & Prosi, M., 2003, Cardiovascular Fluid Mechanics. number 446 in CISM Courses and Lectures ed. Wien - New York: Springer, p. 73-136

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2001

Computational principles and models of hemodynamics

Perktold, K. & Karner, G., 2001, Cerebrovascular Ultrasound - Theory, Practice and Future Developments, Part I: Ultrasound Physics, Technology and Hemodynamics. Cambridge University Press, p. 63-76

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

The method of weighted function spaces for solving initial value and boundary value problems

Tutschke, W., 2001, Functional-Analytic and Complex Methods, their Interactions, and Applications to Partial Differential Equations. 1 ed. ., p. 75-90

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

2000

A separation lemma for the construction of finite sums decompositions

Tutschke, W., 2000, Functional Equations and Inequalities. 1 ed. Dordrecht: Kluwer Academic Publishers, Vol. 518. p. 287-296 (Mathematics and Its Applications).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Mass transport in large arteries and through the artery wal

Karner, G., Perktold, K., Zehentner, H-P. & Prosi, M., 2000, Intra and Extracorporeal Cardiovascular Fluid Dynamics. Volume 2 – Fluid Structure Interaction ed. Southampton, Boston: WIT Press, Vol. 23. p. 209-247 (Advances in Fluid Mechanics).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

1999

Mathematical Modelling of Flow Effects and Transport Processes in Arterial Bifurcation Models

Perktold, K. & Hofer, M., 1999, Advances in Computational Bioengineering, The Haemodynamics of Arterial Organs - Comparison of Computational Predictions with In vivo and In vitro Data. Southampton - Boston: WIT-Press - Computational Mechanics Publications, p. 43-84

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Mathematik

Steinbach, O., Kalik, K., Kolbe, W. & Wendland, W. L., 1999, Der Ingenieurbau. Grundwissen. Berlin: Ernst & Sohn, p. 1-316

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

1998

Generalized analytic functions in mathematical analysis

Tutschke, W., 1998, Generalized Analytic Functions. Theory and Applications to Mechanics. 1 ed. Dordrecht: Kluwer Academic Publishers, p. 3-15

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

On the boundary behaviour of polyanalytic functions of two variables in Jordan bicylinders

Tutschke, W., Balk, M. B. & Vassilenkov, V., 1998, Generalized Analytic Functions. Theory and Applications to Mechanics. 1 ed. ., p. 111-126

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

1997

Fatou and Lusin-Privalov-type theorems for polyanalytic functions of two variables in bicylinders

Tutschke, W., Balk, M. B. & Vassilenko, V., 1997, Polyanalytische Funktionen: Randverhalten und Randwertprobleme. 1 ed. Smolensk: ., p. 13-19

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

1995

An elementary approach to Clifford analysis

Tutschke, W., 1995, Functional Analytic Methods in Complex Analysis and Applications to Partial Differential E. 1 ed. Singapore: World Scientific, p. 402-408

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Computer Simulation of Arterial Blood Flow: Vessel Diseases under the Aspect of Local Hemodynamics

Perktold, K. & Rappitsch, G., 1995, Biological Flows. Series Vol 1 ed. New York - London - Washington - Boston: Plenum Press, p. 83-114

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

New aspects in teaching mathematical analysis

Tutschke, W., 1995, Functional Analytic Methods in Complex Analysis and Applications to Partial Differential E. 1 ed. Singapore: World Scientific, p. 411-414

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Physical Factors in the Pathogenesis of Atheroma Formation

Perktold, K. & Schmid-Schönbein, H., 1995, Scientific Basis of Stroke and its Treatment. London - New York - Berlin: Springer, p. 185-213 (Clinical Medicine and the Nervous System Series).

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Results and problems in the theory of generalized analytic functions and its influence on the present development of mathematical analysis

Tutschke, W., 1995, Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations. 1 ed. ., p. 1-9

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Solution of Initial Value Problems in Associated Spaces

Tutschke, W. & Heersink, R., 1995, Functional Analytic Methods in Complex Analysis and Applications to Partial Differential E. 1 ed. Singapore: World Scientific, p. 209-219

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

Zur Anwendung nicht-Newtonscher Modelle in der lokalen Haemodynamik

Perktold, K. & Rappitsch, G., 1995, Festschrift "Zum 70. Geburtstag von Herrn Prof. Dr.-Ing. Julius Siekmann". Essen: Universitaet Essen, p. 183-194

Research output: Chapter in Book/Report/Conference proceedingChapterResearch

1991

Numerical analysis of pulsatile local flow characteristics and wall shear stresses in compliant carotid artery bifurcation models

Perktold, K., Peter, R. O. & Gürtl, R., 1991, Compliance of the Cardiovascular System. 1 ed. Ljubljana: Medicinski Razgledi, Vol. 30. p. 101-104

Research output: Chapter in Book/Report/Conference proceedingChapterResearch