blocks|key|3837416|text|code+Aster是一个开源的FE代码。code+aster|type|unstyled|depth|inlineStyleRanges|entityRanges|offset|length|data|3837417|预处理和后处理通常是使用Salome完成的-两者都来自EDF。|3837418|entityMap|0|LINK|mutability|MUTABLE|url|http://www.code-aster.org/^0|L|A|0|0|0^^$0|@$1|2|3|4|5|6|7|N|8|@]|9|@$A|O|B|P|1|Q]]|C|$]]|$1|D|3|E|5|6|7|R|8|@]|9|@]|C|$]]|$1|F|3|-4|5|6|7|S|8|@]|9|@]|C|$]]]|G|$H|$5|I|J|K|C|$L|M]]]]

Code Aster is an open source FE code. <a href="http://www.code-aster.org" rel="nofollow">code aster</a>

The pre- and post-processing is usually done with Salome - both originate from EDF.

blocks|key|56515|text|那FEAP呢？当你购买它时，它有完整的源代码。这是一个相当大的项目，也许它对你的需求来说太多了，但请查看它。|type|unstyled|depth|inlineStyleRanges|entityRanges|offset|length|data|56516|56517|有限元分析程序是一个面向科研和教学的通用有限元分析程序。完整程序的源代码可以使用Windows+(Compaq或Intel编译器)、LINUX或UNIX操作系统以及基于Mac+OS+X的Apple系统进行编译。|blockquote|56518|56519|56520|它还有一个名为FEAPpv的个人版，免费提供，包括源代码。this+pdf中列出了这些版本之间的差异。|56521|entityMap|0|LINK|mutability|MUTABLE|url|http://www.ce.berkeley.edu/~rlt/feap/|1|http://www.ce.berkeley.edu/~rlt/feappv/|2|http://www.ce.berkeley.edu/~rlt/feappv/differ.pdf^0|1|4|0|0|0|0|0|0|7|6|1|T|8|2|0^^$0|@$1|2|3|4|5|6|7|X|8|@]|9|@$A|Y|B|Z|1|10]]|C|$]]|$1|D|3|-4|5|6|7|11|8|@]|9|@]|C|$]]|$1|E|3|F|5|G|7|12|8|@]|9|@]|C|$]]|$1|H|3|-4|5|6|7|13|8|@]|9|@]|C|$]]|$1|I|3|-4|5|6|7|14|8|@]|9|@]|C|$]]|$1|J|3|K|5|6|7|15|8|@]|9|@$A|16|B|17|1|18]|$A|19|B|1A|1|1B]]|C|$]]|$1|L|3|-4|5|6|7|1C|8|@]|9|@]|C|$]]]|M|$N|$5|O|P|Q|C|$R|S]]|T|$5|O|P|Q|C|$R|U]]|V|$5|O|P|Q|C|$R|W]]]]

How about <a href="http://www.ce.berkeley.edu/~rlt/feap/" rel="nofollow noreferrer">FEAP</a>. It has full source code available when you purchase it. It is pretty big project, maybe its too much for your needs, but check it out.

<blockquote>
 FEAP is a general purpose finite
 element analysis program which is
 designed for research and educational
 use. Source code of the full program
 is available for compilation using
 Windows (Compaq or Intel compiler),
 LINUX or UNIX operating systems, and
 Mac OS X based Apple systems.
</blockquote>

It has also a Personal Edition called <a href="http://www.ce.berkeley.edu/~rlt/feappv/" rel="nofollow noreferrer">FEAPpv</a> available for free, including source code. Differences between those versions are listed in <a href="http://www.ce.berkeley.edu/~rlt/feappv/differ.pdf" rel="nofollow noreferrer">this pdf</a>.

blocks|key|56600|text|“布拉德”你是说“宽广”吗？|type|unstyled|depth|inlineStyleRanges|entityRanges|data|56601|你不会说你的问题是线性的还是非线性的。这将会有很大的不同。|56602|求解器取决于方程的类型和问题的大小。对于椭圆偏微分方程，你可以选择标准的线性代数技术，如lu分解，迭代方法，如连续超松弛，或波前解算器，以最大限度地减少内存消耗。|56603|有些人喜欢解决非线性稳态问题，就好像它们是动态问题一样。其思想是创建“假”质量和阻尼矩阵，并使用显式时间积分来收敛到稳态。|56604|有很多选择。标准线性代数是一个很好的起点。|56605|语言？java？|56606|entityMap^0|0|0|0|0|0|0^^$0|@$1|2|3|4|5|6|7|N|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|O|8|@]|9|@]|A|$]]|$1|D|3|E|5|6|7|P|8|@]|9|@]|A|$]]|$1|F|3|G|5|6|7|Q|8|@]|9|@]|A|$]]|$1|H|3|I|5|6|7|R|8|@]|9|@]|A|$]]|$1|J|3|K|5|6|7|S|8|@]|9|@]|A|$]]|$1|L|3|-4|5|6|7|T|8|@]|9|@]|A|$]]]|M|$]]

"brad"? do you mean "broad"?

you don't say if your problem is linear or non-linear. that'll make a very big difference.

the solver depends on the type of equation and the size of your problem. for elliptical pdes you can choose standard linear algebra techniques like lu decomposition, iterative methods like successive over relaxation, or wavefront solvers that minimize memory consumption.

some people like solving non-linear steady-state problems as if they were dynamics problems. the idea is to create "fake" mass and damping matricies and use explicit time integration to converge to steady state.

lots of choices. standard linear algebra is a good starting point.

language? java?

blocks|key|2533470|text|哦，这是布拉德的问题。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|2533471|求解微分方程通常从分析方程本身开始。有些方程是出了名的难以有效地解决，例如无限边界问题。因此，如果你有其他问题，而不是椭圆问题，你可能会更好地为未来的艰难时期做好准备。|2533472|下一个重要和关键的部分是将连续问题转化为离散网格。通常，生成此网格的方法不同，结果的精度也会有所不同。在这里你需要一些完善的经验。|2533473|所以我想说，没有什么比有限元方程的快速解算器更好的了。无论如何，虽然Wikipedia提供了该主题的简短概述，但您可能还可以查看一下german+Wikipedia页面。它列出了众所周知的有限元实现。|offset|length|2533474|entityMap|0|LINK|mutability|MUTABLE|url|http://en.wikipedia.org/wiki/Finite_element|1|http://de.wikipedia.org/wiki/Finite-Elemente-Methode^0|0|0|0|Y|9|0|1U|G|1|0^^$0|@$1|2|3|4|5|6|7|T|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|U|8|@]|9|@]|A|$]]|$1|D|3|E|5|6|7|V|8|@]|9|@]|A|$]]|$1|F|3|G|5|6|7|W|8|@]|9|@$H|X|I|Y|1|Z]|$H|10|I|11|1|12]]|A|$]]|$1|J|3|-4|5|6|7|13|8|@]|9|@]|A|$]]]|K|$L|$5|M|N|O|A|$P|Q]]|R|$5|M|N|O|A|$P|S]]]]

Oops, that's kind of a brad question.

Solving differential equations usually starts with analyzing equation itself. Some equations are notoriously difficult to solve efficiently, e.g. indifinite boundary problems.
So if you have something else than an elliptic problem, you'll might better prepare for hard times ahead.

Next important and crutial part is transfering the contiouus problem into a discrete mesh. Typically the accuracy of your results will vary with different ways to generate this mesh. You'll need some sound experience here.

So I'd say there is nothing like the fast slover for FEM equations. Anyway, while <a href="http://en.wikipedia.org/wiki/Finite_element" rel="nofollow noreferrer">Wikipedia</a> gives a short overview of the topic, you might perhaps also have a look a the <a href="http://de.wikipedia.org/wiki/Finite-Elemente-Methode" rel="nofollow noreferrer">german Wikipedia</a> page. It lists well-known FEM implementations.

blocks|key|3837305|text|OpenFoam和Elmer是两个开源的求解器。不确定埃尔默，但我认为OpenFoam可能会使用控制音量的方法。|type|unstyled|depth|inlineStyleRanges|entityRanges|data|3837306|entityMap^0|0^^$0|@$1|2|3|4|5|6|7|D|8|@]|9|@]|A|$]]|$1|B|3|-4|5|6|7|E|8|@]|9|@]|A|$]]]|C|$]]

OpenFoam and Elmer are two open source solvers. Not sure about Elmer, but I think OpenFoam might uses the control volume approach.

blocks|key|3837364|text|我使用OpenFOAM进行流体动力学研究。您可以使用MPI对其进行并行处理。如果你有一个克雷T3E，它将是快速的！它是开源的:D+http://www.opencfd.co.uk/openfoam/features.html#features|type|unstyled|depth|inlineStyleRanges|entityRanges|offset|length|data|3837365|entityMap|0|LINK|mutability|MUTABLE|url|http://www.opencfd.co.uk/openfoam/features.html#features^0|1T|1K|0|0^^$0|@$1|2|3|4|5|6|7|L|8|@]|9|@$A|M|B|N|1|O]]|C|$]]|$1|D|3|-4|5|6|7|P|8|@]|9|@]|C|$]]]|E|$F|$5|G|H|I|C|$J|K]]]]

I used OpenFOAM for fluid dynamics research. You can do parallel processing with it with MPI. And if you have a Cray T3E it will be fast! 
It's open source :D
<a href="http://www.opencfd.co.uk/openfoam/features.html#features" rel="nofollow noreferrer">http://www.opencfd.co.uk/openfoam/features.html#features</a>

blocks|key|621339|text|请查找Deal.II开源库：|type|unstyled|depth|inlineStyleRanges|entityRanges|data|621340|http://www.dealii.org/|offset|length|621341|它们还提供预装的库中的VirtualBox镜像。|621342|entityMap|0|LINK|mutability|MUTABLE|url^0|0|0|M|0|0|0^^$0|@$1|2|3|4|5|6|7|O|8|@]|9|@]|A|$]]|$1|B|3|C|5|6|7|P|8|@]|9|@$D|Q|E|R|1|S]]|A|$]]|$1|F|3|G|5|6|7|T|8|@]|9|@]|A|$]]|$1|H|3|-4|5|6|7|U|8|@]|9|@]|A|$]]]|I|$J|$5|K|L|M|A|$N|C]]]]

Please have look for Deal.II open source library: 

<a href="http://www.dealii.org/" rel="nofollow noreferrer">http://www.dealii.org/</a>

They provide also VirtualBox image which comes pre-installed libs.

blocks|key|2540917|text|SolverBlaze使用英特尔数学内核库中的Pardiso稀疏解算器。它同时提供C%2B%2B和.NET编程接口(https://www.cg-inc.com/Product/SolverBlaze)。|type|unstyled|depth|inlineStyleRanges|entityRanges|offset|length|data|2540918|entityMap|0|LINK|mutability|MUTABLE|url|https://www.cg-inc.com/Product/SolverBlaze^0|1I|16|0|0^^$0|@$1|2|3|4|5|6|7|L|8|@]|9|@$A|M|B|N|1|O]]|C|$]]|$1|D|3|-4|5|6|7|P|8|@]|9|@]|C|$]]]|E|$F|$5|G|H|I|C|$J|K]]]]

SolverBlaze uses the Pardiso sparse solver in Intel Math Kernel Library. It offers both C++ and .NET programming interface (<a href="https://www.cg-inc.com/Product/SolverBlaze" rel="nofollow noreferrer">https://www.cg-inc.com/Product/SolverBlaze</a>).

What are the fast solvers for <a href="http://en.wikipedia.org/wiki/Finite_element_method" rel="nofollow noreferrer">FEM</a> equations? I would prefer open source implementation, but if there is a commercial implementation, then I won't mind paying for it.

Fast FEM Solvers

翻译质量差，导致语言生硬或混乱。

没有提供实际的解决方法或示例。

解答不清晰，无法理解或解决问题。

页面排版不美观，阅读体验差。

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方程的快速求解器是什么？我更喜欢开源实现，但如果有商业实现，我不会介意花钱。

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