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    • 2. 发明授权
    • Method for assembling the finite element discretization of arbitrary weak equations involving local or non-local multiphysics couplings
    • 用于组合涉及局部或非局部多物理耦合的任意弱方程的有限元离散化的方法
    • US07596474B2
    • 2009-09-29
    • US10042936
    • 2002-01-09
    • Lars LangemyrDaniel BertilssonArne NordmarkPer-Olof PerssonJerome Long
    • Lars LangemyrDaniel BertilssonArne NordmarkPer-Olof PerssonJerome Long
    • G06F7/60G06F17/13G06G7/48G06G7/50
    • G06F17/5009G06F17/12G06F17/13G06F17/5018
    • 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. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. Also described are methods for computing the stiffness matrix, residual vector, constraint matrix, and constraint residual vector for the finite element discretization of a system of partial differential equations in weak form that includes local and non-local variables coupling multiple geometries.
    • 公开了用于表示和建模其中每个系统对应于应用模式的一个或多个系统的技术。 这可以对于使用本地和/或非本地耦合的一个或多个几何形状来完成。 对于每个应用程序模式,物理量都被建模,并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义,而数学表达式可以包括数值,空间坐标,时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部,并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。 可以选择性地解决与组合系统相关联的物理量和变量的一部分。 还描述了用于计算弱形​​式的偏微分方程系统的有限元离散的刚度矩阵,残差矢量,约束矩阵和约束残差矢量的方法,其包括耦合多个几何的局部和非局部变量。
    • 3. 发明授权
    • Method for assembling the finite element discretization of arbitrary weak equations, involving local or non-local multiphysics couplings
    • 用于组合有限元离散任意弱方程的方法,涉及局部或非局部多物理耦合
    • US07519518B2
    • 2009-04-14
    • US09995222
    • 2001-11-27
    • Lars LangemyrDaniel BertilssonArne NordmarkPer-Olof PerssonJerome Long
    • Lars LangemyrDaniel BertilssonArne NordmarkPer-Olof PerssonJerome Long
    • G06F7/60G06F17/13G06G7/48G06G7/50
    • G06F17/12
    • 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. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. The partial differential equations may be displayed and may in turn solve for the system of partial differential equations in accordance with a general form or a coefficient form. An automated technique provides for automatic derivation of the combined partial differential equations and boundary conditions. This technique automatically merges the equations from a plurality of application modes, and in some instances, performs symbolic differentiation of the equations, producing a single system of partial differential equations. A subset of physical quantities and associated variables not solved for may be used as initial values to the system of partial differential equations.
    • 公开了用于表示和建模其中每个系统对应于应用模式的一个或多个系统的技术。 这可以对于使用本地和/或非本地耦合的一个或多个几何形状来完成。 对于每个应用程序模式,物理量都被建模,并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义,而数学表达式可以包括数值,空间坐标,时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部,并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。 可以选择性地解决与组合系统相关联的物理量和变量的一部分。 可以显示偏微分方程,并且可以依照一般形式或系数形式解决偏微分方程的系统。 一种自动化技术提供组合偏微分方程和边界条件的自动推导。 该技术自动地合并来自多种应用模式的等式,并且在某些情况下,执行方程的符号区分,产生单一的偏微分方程系统。 未解决的物理量和相关变量的子集可以用作偏微分方程系统的初始值。
    • 4. 发明申请
    • Method For Assembling The Finite Element Discretization Of Arbitrary Weak Equations Involving Local Or Non-Local Multiphysics Couplings
    • 用于组装有局限或非局部多物理耦合的任意弱方程有限元离散的方法
    • US20090259447A1
    • 2009-10-15
    • US12487762
    • 2009-06-19
    • Lars LangemyrDaniel BertilssonAme NordmarkPer-Olof PerssonJerome Long
    • Lars LangemyrDaniel BertilssonAme NordmarkPer-Olof PerssonJerome Long
    • G06F17/10
    • G06F17/5009G06F17/12G06F17/13G06F17/5018
    • 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. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. Also described are methods for computing the stiffness matrix, residual vector, constraint matrix, and constraint residual vector for the finite element discretization of a system of partial differential equations in weak form that includes local and non-local variables coupling multiple geometries.
    • 公开了用于表示和建模其中每个系统对应于应用模式的一个或多个系统的技术。 这可以对于使用本地和/或非本地耦合的一个或多个几何形状来完成。 对于每个应用程序模式,物理量都被建模,并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义,而数学表达式可以包括数值,空间坐标,时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部,并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。 可以选择性地解决与组合系统相关联的物理量和变量的一部分。 还描述了用于计算弱形​​式的偏微分方程系统的有限元离散的刚度矩阵,残差矢量,约束矩阵和约束残差矢量的方法,其包括耦合多个几何的局部和非局部变量。
    • 5. 发明授权
    • Method and apparatus for the specification and automatic derivation of partial differential equations associated with coupled physical quantities in a multiphysics problem
    • 用于规范和自动推导与多物理场问题中的耦合物理量相关的偏微分方程的方法和装置
    • US07623991B1
    • 2009-11-24
    • US09675778
    • 2000-09-29
    • Lars LangemyrMagnus MarklundArne NordmarkPer-Olof PerssonMagnus Ringh
    • Lars LangemyrMagnus MarklundArne NordmarkPer-Olof PerssonMagnus Ringh
    • G06F7/60G06F17/10
    • G06F17/13
    • 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. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. The partial differential equations may be displayed and may in turn solve for the system of partial differential equations in accordance with a general form or a coefficient form. An automated technique provides for automatic derivation of the combined partial differential equations and boundary conditions. This technique automatically merges the equations from a plurality of application modes, and in some instances, performs symbolic differentiation of the equations, producing a single system of partial differential equations. A subset of physical quantities and associated variables not solved for may be used as initial values to the system of partial differential equations.
    • 公开了一种用于表示和建模其中每个系统对应于应用模式的一个或多个系统的系统。 对于每个应用程序模式,物理量都被建模,并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义,而数学表达式可以包括数值,空间坐标,时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部,并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。 可以选择性地解决与组合系统相关联的物理量和变量的一部分。 可以显示偏微分方程,并且可以依照一般形式或系数形式解决偏微分方程的系统。 一种自动化技术提供组合偏微分方程和边界条件的自动推导。 该技术自动地合并来自多种应用模式的等式,并且在某些情况下,执行方程的符号区分,产生单一的偏微分方程系统。 未解决的物理量和相关变量的子集可以用作偏微分方程系统的初始值。
    • 6. 发明申请
    • SYSTEM AND METHOD FOR ESTABLISHING BIDIRECTIONAL LINKS BETWEEN MULTIPHYSICS MODELING AND DESIGN SYSTEMS
    • 用于建立多元建模与设计系统之间的双向链接的系统和方法
    • US20120179426A1
    • 2012-07-12
    • US12981404
    • 2010-12-29
    • Eduardo FontesLars LangemyrDaniel Bertilsson
    • Eduardo FontesLars LangemyrDaniel Bertilsson
    • G06F17/50
    • G06F17/5018G06F2217/16
    • A system and method for implementing, on one or more processors, a bidirectional link between a design system and a multiphysics modeling system includes establishing via a communications link a connection between the design system and the multiphysics modeling system. Instructions are communicated via the communication link that include commands for generating a geometric representation in the design system based on parameters communicated from the multiphysics modeling system. One or more memory components can be configured to store a design system dynamic link library and a multiphysics modeling system dynamic link library. A controller can be operative to detect an installation of the design system, and implement via the dynamic link libraries, bidirectional communications of instructions between the design system and the multiphysics modeling system.
    • 在一个或多个处理器上实现设计系统和多物理场建模系统之间的双向链路的系统和方法包括经由通信链路建立设计系统和多物理场建模系统之间的连接。 通过通信链路传递指令,该通信链路包括基于从多物理场建模系统传递的参数在设计系统中生成几何表示的命令。 可以将一个或多个存储器组件配置为存储设计系统动态链接库和多物理场建模系统动态链接库。 控制器可以操作以检测设计系统的安装,并通过动态链接库来实现设计系统和多物理场建模系统之间的指令的双向通信。
    • 8. 发明授权
    • System and method for establishing bidirectional links between multiphysics modeling and design systems
    • 用于建立多物理场建模与设计系统之间的双向链接的系统和方法
    • US09208270B2
    • 2015-12-08
    • US12981404
    • 2010-12-29
    • Eduardo FontesLars LangemyrDaniel Bertilsson
    • Eduardo FontesLars LangemyrDaniel Bertilsson
    • G06G7/48G06F17/50
    • G06F17/5018G06F2217/16
    • A system and method for implementing, on one or more processors, a bidirectional link between a design system and a multiphysics modeling system includes establishing via a communications link a connection between the design system and the multiphysics modeling system. Instructions are communicated via the communication link that include commands for generating a geometric representation in the design system based on parameters communicated from the multiphysics modeling system. One or more memory components can be configured to store a design system dynamic link library and a multiphysics modeling system dynamic link library. A controller can be operative to detect an installation of the design system, and implement via the dynamic link libraries, bidirectional communications of instructions between the design system and the multiphysics modeling system.
    • 在一个或多个处理器上实现设计系统和多物理场建模系统之间的双向链路的系统和方法包括经由通信链路建立设计系统和多物理场建模系统之间的连接。 通过通信链路传递指令,该通信链路包括基于从多物理场建模系统传递的参数在设计系统中生成几何表示的命令。 可以将一个或多个存储器组件配置为存储设计系统动态链接库和多物理场建模系统动态链接库。 控制器可以操作以检测设计系统的安装,并通过动态链接库来实现设计系统和多物理场建模系统之间的指令的双向通信。