Patents by Inventor Arne Nordmark
Arne Nordmark has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).
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Patent number: 11934752Abstract: A graphical user interface includes GUI elements configured for defining discretized base geometry data for a model of a physical system, receiving a first input representing a user instruction to add a perfectly matched layer to the model, receiving a second input representing the user selection of boundaries that define a base geometry, and receiving a third input representing extra geometry meshing instructions. Extra geometry line segment data is discretized representing an outward direction of a PML from the boundary according to the extra geometry meshing instructions. Weak form expressions representing a wave-related phenomena are formed based on received PML settings and physics settings parameterized using discretized base geometry data and discretized extra geometry data. Matrix data are generated based on the formed weak form expressions. A solution to a simulation of the wave-related phenomena of the model is generated based on the formed weak form expressions.Type: GrantFiled: September 14, 2020Date of Patent: March 19, 2024Assignee: COMSOL ABInventors: Arne Nordmark, Eduardo Fontes, Hans Rullgãrd, Henrik Sõnnerlind, Johan Öjemalm, Lars Langemyr, Daniel Bertilsson, Nils Malm, Johan Thaning, Eduardo Gonzalez, Niklas Rom, Simon Erlandsson
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Patent number: 11030365Abstract: Systems and methods for modeling physical systems include displaying geometric representation of a physical system on a physics simulation system. User-selection inputs received indicate, for mesh elements, selections of dependent variable shape function spaces representing dependent variables. Geometry shape function space options for simulating the physical system are determined that are common to mesh elements and include a serendipity shape function space of second order or higher. A determined geometry shape function space option is a subset of a combination of the dependent variable shape function spaces and satisfies accuracy criteria based on an accuracy ordering of shape function spaces. A finite element mesh for the physical system is created based on the mesh elements, a selected geometry shape function space, and the selection of dependent variable shape function spaces.Type: GrantFiled: May 10, 2017Date of Patent: June 8, 2021Assignee: COMSOL ABInventors: Erik Danielsson, Lars Langemyr, Nils Malm, Arne Nordmark, Hans Rullgård, Elin Svensson, Henrik Sönnerlind, Johan Thaning, Johan Öjemalm
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Patent number: 10776541Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.Type: GrantFiled: July 26, 2018Date of Patent: September 15, 2020Assignee: COMSOL ABInventors: Arne Nordmark, Eduardo Fontes, Hans Rullgärd, Henrik Sönnerlind, Johan Öjemalm, Lars Langemyr, Daniel Bertilsson, Nils Malm, Johan Thaning, Eduardo Gonzalez, Niklas Rom
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Publication number: 20180357347Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.Type: ApplicationFiled: July 26, 2018Publication date: December 13, 2018Inventors: Arne Nordmark, Eduardo Fontes, Hans Rullgärd, Henrik Sönnerlind, Johan Öjemalm, Lars Langemyr, Daniel Bertilsson, Nils Malm, Johan Thaning, Eduardo Gonzalez, Niklas Rom
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Patent number: 8954302Abstract: Disclosed are techniques for representing and modeling systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: GrantFiled: March 11, 2013Date of Patent: February 10, 2015Assignee: Comsol ABInventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long
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Publication number: 20140222384Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.Type: ApplicationFiled: March 15, 2013Publication date: August 7, 2014Applicant: Comsol ABInventors: Arne Nordmark, Eduardo Fontes, Hans Rullgård, Henrik Sönnerlind, Johan Öjemalm, Lars Langemyr, Daniel Bertilsson, Nils Malm, Johan Thaning, Eduardo Gonzalez, Niklas Rom
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Patent number: 8457932Abstract: Disclosed are techniques for representing and modeling systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: GrantFiled: June 19, 2009Date of Patent: June 4, 2013Assignee: Comsol ABInventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long
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Patent number: 7623991Abstract: Disclosed is a system for representing and modeling one or more systems in which each system corresponds to an application mode. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: GrantFiled: September 29, 2000Date of Patent: November 24, 2009Assignee: Comsol ABInventors: Lars Langemyr, Magnus Marklund, Arne Nordmark, Per-Olof Persson, Magnus Ringh
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Patent number: 7596474Abstract: Disclosed are techniques for representing and modeling one or more systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: GrantFiled: January 9, 2002Date of Patent: September 29, 2009Assignee: Comsol ABInventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long
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Patent number: 7519518Abstract: Disclosed are techniques for representing and modeling one or more systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: GrantFiled: November 27, 2001Date of Patent: April 14, 2009Assignee: Comsol ABInventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long
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Publication number: 20040034514Abstract: Disclosed are techniques for representing and modeling one or more systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: ApplicationFiled: January 9, 2002Publication date: February 19, 2004Inventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long
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Publication number: 20030105614Abstract: Disclosed are techniques for representing and modeling one or more systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.Type: ApplicationFiled: November 27, 2001Publication date: June 5, 2003Inventors: Lars Langemyr, Daniel Bertilsson, Arne Nordmark, Per-Olof Persson, Jerome Long